×

Băleanu, Dumitru I.

Author ID: baleanu.dumitru-i Recent zbMATH articles by "Băleanu, Dumitru I."
Published as: Baleanu, Dumitru; Baleanu, D.; Băleanu, Dumitru; Băleanu, D.; Baleanu, Dumitru I.; Băleanu, Dumitru I.; Baleanu, Dimitru; Bǎleanu, D.
Homepage: https://www.intechopen.com/profiles/105623
External Links: arXiv · Google Scholar · ResearchGate · dblp · GND
all top 5

Co-Authors

18 single-authored
45 Rezapour, Shahram
40 Inc, Mustafa
36 Abdeljawad, Thabet
35 Wu, Guocheng
30 Jafari, Hossein
30 Muslih, Sami I.
29 Salahshour, Soheil
29 Sooppy Nisar, Kottakkaran
29 Yang, Xiao-Jun
27 Golmankhaneh, Alireza Khalili
27 Machado, José António Tenreiro
26 Jarad, Fahd
25 Yusuf, Abdullahi A.
24 Bhrawy, Ali Hassan
24 Jajarmi, Amin
23 Kumar, Devendra
22 Singh, Jagdev
20 Agarwal, Ravi P.
20 Aliyu, Aliyu Isa
19 Srivastava, Hari Mohan
18 Rabei, Eqab M.
17 Doha, Eid H.
16 Arjunan, Mani Mallika
15 Ahmadian, Ali
15 Alshomrani, Ali Saleh
15 Mustafa, Octavian G.
15 Purohit, Sunil Dutt
14 Chu, Yuming
14 Golmankhaneh, Ali Khalili
14 Mohammadi, Hakimeh
13 Hajipour, Mojtaba
13 Taş, Kenan
12 Akgül, Ali
12 Fernandez, Arran
12 Hosseini, Kamyar
12 Khan, Hasib
12 Suganya, Selvaraj
11 Agarwal, Praveen
11 Ahmed, Nauman
11 Alipour, Mohsen
11 Etemad, Sina
11 Nguyen Huy Tuan
11 O’Regan, Donal
10 Can, Nguyen Huu
10 Gómez-Aguilar, José Francisco
10 Wang, Guotao
9 Abbas, Muhammad Mohsin
9 Ezz-Eldien, Samer S.
9 Ghaffar, Abdul
9 Hammouch, Zakia
9 Herzallah, Mohamed A. E.
9 Khan, Hassan Ali
9 Khan, Rahmat Ali
9 Long, Le Dinh
9 Mohammed, Pshtiwan Othman
9 Rashid, Saima
9 Rehman, Muhammad Aziz-Ur
9 Ugurlu, Ekin
9 Zeng, Shengda
8 Al-Omari, Shrideh Khalaf Qasem
8 Arshad, Sadia
8 Cattani, Carlo
8 Defterli, Ozlem
8 Güler, Yurdahan
8 Ibrahim, Rabha Waell
8 Kadem, Abdelouahab
8 Khan, Aziz Ullah
8 Mirzazadeh, Mohammad
8 Mustafa, Ghulam
8 Sabir, Zulqurnain
8 Shiri, Babak
8 Sweilam, Nasser Hassan
7 Abdelkawy, Mohamed A.
7 Agrawal, Om Prakash
7 Al-Mekhlafi, Seham Mahyoub
7 Atangana, Abdon
7 Babakhani, Azizollah
7 Dassios, Ioannis K.
7 Dinç, Erdal
7 Hafez, Ramy Mahmoud
7 Jafarian, Ahmad
7 Jaradat, Imad
7 Karaca, Yeliz
7 Khater, Mostafa M. A.
7 Luc, Nguyen Hoang
7 Momani, Shaher M.
7 Nigmatullin, Raoul R.
7 Saad, Khaled Mohammed
7 Shah, Kamal
7 Trujillo, Juan J.
7 Zhang, Lihong
6 Agheli, Bahram
6 Al Qurashi, Maysaa’ Mohamed
6 Alquran, Marwan Taiseer
6 Alzabut, Jehad O.
6 Darzi, Rahmat
6 Debbouche, Amar
6 Ghanbari, Behzad
6 Hınçal, Evren
6 Kumar, Sunil
...and 796 more Co-Authors
all top 5

Serials

190 Advances in Difference Equations
56 Abstract and Applied Analysis
55 Mathematical Methods in the Applied Sciences
34 Chaos, Solitons and Fractals
31 Communications in Nonlinear Science and Numerical Simulation
31 AIMS Mathematics
26 Fractals
25 Nonlinear Dynamics
21 Applied Mathematics and Computation
21 Journal of Inequalities and Applications
20 Journal of Nonlinear Science and Applications
18 Romanian Journal of Physics
16 Journal of Vibration and Control
16 Boundary Value Problems
15 International Journal of Theoretical Physics
15 Physica A
15 Applied Numerical Mathematics
15 Chaos
14 Computers & Mathematics with Applications
13 Fractional Calculus & Applied Analysis
11 Czechoslovak Journal of Physics
10 Journal of Computational Analysis and Applications
10 Advances in Mathematical Physics
9 International Journal of Applied and Computational Mathematics
8 Journal of Computational and Applied Mathematics
8 Mathematical Problems in Engineering
7 Computational and Applied Mathematics
7 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
6 Journal of Mathematical Physics
6 Reports on Mathematical Physics
6 Nonlinear Analysis. Modelling and Control
6 Mathematical Biosciences and Engineering
5 Mathematics and Computers in Simulation
5 International Journal of Computer Mathematics
5 Filomat
5 Qualitative Theory of Dynamical Systems
5 Journal of Physics A: Mathematical and Theoretical
5 Mathematical Modelling of Natural Phenomena
5 Discrete and Continuous Dynamical Systems. Series S
5 Nonlinear Systems and Complexity
5 Open Mathematics
4 Modern Physics Letters A
4 Helvetica Physica Acta
4 Numerical Methods for Partial Differential Equations
4 Applied Mathematical Modelling
4 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Physica Scripta
4 Nonlinear Analysis. Real World Applications
4 Waves in Random and Complex Media
4 International Journal of Biomathematics
4 Communications in Theoretical Physics
3 International Journal of Modern Physics A
3 Journal of Computational Physics
3 Physics Letters. A
3 Journal of Optimization Theory and Applications
3 Applied Mathematics Letters
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Complexity
3 Discrete Dynamics in Nature and Society
3 Journal of Applied Mathematics and Computing
3 Hacettepe Journal of Mathematics and Statistics
3 Miskolc Mathematical Notes
3 Series on Complexity, Nonlinearity, and Chaos
3 Journal of Mathematics
3 Journal of Applied Nonlinear Dynamics
3 Journal of Function Spaces
2 Journal of Mathematical Analysis and Applications
2 Fuzzy Sets and Systems
2 Optimal Control Applications & Methods
2 Signal Processing
2 Acta Mathematica Universitatis Comenianae. New Series
2 Numerical Algorithms
2 Turkish Journal of Mathematics
2 Nonlinear Studies
2 Electronic Journal of Qualitative Theory of Differential Equations
2 Analysis (München)
2 Fundamenta Informaticae
2 Discussiones Mathematicae. Differential Inclusions, Control and Optimization
2 Entropy
2 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science
2 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
2 Journal of Mathematical Inequalities
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Symmetry
2 Springer Proceedings in Mathematics & Statistics
2 Discontinuity, Nonlinearity, and Complexity
2 Mathematics
2 Computational Methods for Differential Equations
2 Lecture Notes in Networks and Systems
2 Handbook of Fractional Calculus with Applications
1 Acta Mechanica
1 Applicable Analysis
1 General Relativity and Gravitation
1 International Journal of Control
1 Journal of the Franklin Institute
1 Revue Roumaine de Physique
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Geometry and Physics
1 Collectanea Mathematica
...and 54 more Serials
all top 5

Fields

393 Ordinary differential equations (34-XX)
389 Real functions (26-XX)
285 Partial differential equations (35-XX)
225 Numerical analysis (65-XX)
93 Biology and other natural sciences (92-XX)
86 Operator theory (47-XX)
72 Integral equations (45-XX)
55 Mechanics of particles and systems (70-XX)
52 Special functions (33-XX)
52 Systems theory; control (93-XX)
50 Dynamical systems and ergodic theory (37-XX)
42 Difference and functional equations (39-XX)
38 Calculus of variations and optimal control; optimization (49-XX)
30 General and overarching topics; collections (00-XX)
30 Quantum theory (81-XX)
25 Integral transforms, operational calculus (44-XX)
24 Fluid mechanics (76-XX)
22 Differential geometry (53-XX)
22 Mechanics of deformable solids (74-XX)
21 Relativity and gravitational theory (83-XX)
20 Measure and integration (28-XX)
20 Probability theory and stochastic processes (60-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Optics, electromagnetic theory (78-XX)
16 Statistical mechanics, structure of matter (82-XX)
15 Approximations and expansions (41-XX)
15 Computer science (68-XX)
14 Functional analysis (46-XX)
13 Functions of a complex variable (30-XX)
11 General topology (54-XX)
11 Information and communication theory, circuits (94-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Operations research, mathematical programming (90-XX)
7 Combinatorics (05-XX)
7 Statistics (62-XX)
4 Mathematical logic and foundations (03-XX)
4 Number theory (11-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Convex and discrete geometry (52-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Abstract harmonic analysis (43-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

869 Publications have been cited 18,367 times in 8,263 Documents Cited by Year
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
837
2012
A new collection of real world applications of fractional calculus in science and engineering. Zbl 1509.26005
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
346
2018
A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative. Zbl 1483.92041
Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, Hakimeh; Rezapour, Shahram
247
2020
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
193
2014
Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
177
2012
New trends in nanotechnology and fractional calculus applications. Selected papers based on the presentations at the workshop new trends in science and technology (NTST 08), and the workshop fractional differentiation and its applications (FDA 09), Ankara, Türkei, November 2008. Zbl 1196.65021
168
2010
On a new class of fractional operators. Zbl 1422.26004
Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru
153
2017
New properties of conformable derivative. Zbl 1354.26008
Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed
150
2015
Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
137
2013
Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013
Debbouche, Amar; Baleanu, Dumitru
127
2011
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. Zbl 1349.65504
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Ezz-Eldien, S. S.
124
2015
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047
Agrawal, Om. P.; Baleanu, Dumitru
123
2007
A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions. Zbl 1495.34006
Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
123
2020
Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. Zbl 1482.37090
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
120
2020
A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator. Zbl 1420.92039
Baleanu, D.; Jajarmi, A.; Sajjadi, S. S.; Mozyrska, D.
119
2019
On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations. Zbl 1377.45004
Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
118
2017
Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Zbl 1412.47086
Abdeljawad, Thabet; Baleanu, Dumitru
117
2017
On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025
Abdeljawad, Thabet; Baleanu, Dumitru
115
2017
On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002
Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet
113
2014
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
110
2012
On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006
Jarad, F.; Abdeljawad, T.; Baleanu, D.
109
2017
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360
Baleanu, Dumitru; Muslih, Sami I.
108
2005
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211
Abdeljawad, Thabet; Baleanu, Dumitru
107
2016
On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006
Băleanu, Dumitru; Mustafa, Octavian G.
106
2010
On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation. Zbl 1524.45012
Baleanu, Dumitru; Rezapour, Shahram; Saberpour, Zohreh
106
2019
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 1510.34004
Baleanu, Dumitru; Fernandez, Arran
103
2018
On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019
Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
100
2017
Local fractional integral transforms and their applications. Zbl 1336.44001
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
93
2016
A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068
Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P.
89
2009
The Hamilton formalism with fractional derivatives. Zbl 1104.70012
Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru
87
2007
Fractional dynamics and control. Papers based on the presentations at the 3rd conference on nonlinear science and complexity (NSC) Ankara, Turkey, July 27–31, 2010. Zbl 1231.93003
86
2012
Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. Zbl 1149.70320
Muslih, Sami I.; Baleanu, Dumitru
84
2005
New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang
84
2019
Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304
Baleanu, Dumitru; Agrawal, Om. P.
82
2006
A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative. Zbl 1422.34219
Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
80
2017
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo
79
2016
On high order fractional integro-differential equations including the Caputo-Fabrizio derivative. Zbl 1499.34400
Aydogan, Melike S.; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
78
2018
Chaos synchronization of fractional chaotic maps based on the stability condition. Zbl 1400.34107
Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai
78
2016
Fractional differences and integration by parts. Zbl 1225.39008
Abdeljawad, Thabet; Baleanu, Dumitru
75
2011
A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence. Zbl 1423.92093
Jajarmi, Amin; Ghanbari, Behzad; Baleanu, Dumitru
75
2019
On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives. Zbl 1179.26024
Maraaba, Thabet Abdeljawad; Jarad, Fahd; Baleanu, Dumitru
74
2008
Lyapunov functions for Riemann-Liouville-like fractional difference equations. Zbl 1426.39010
Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua
74
2017
Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel. Zbl 1514.35463
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru; Sushila
74
2018
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
74
2017
A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. Zbl 1388.34005
Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong
73
2018
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
71
2020
An existence result for a superlinear fractional differential equation. Zbl 1200.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
71
2010
A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117
Jajarmi, Amin; Baleanu, Dumitru
71
2018
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
70
2011
On coupled systems of time-fractional differential problems by using a new fractional derivative. Zbl 1367.34006
Alsaedi, Ahmed; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
69
2016
On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 1509.65071
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang
69
2019
Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces. Zbl 1301.34007
Baleanu, Dumitru; Agarwal, Ravi P.; Mohammadi, Hakimeh; Rezapour, Shahram
68
2013
Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative. Zbl 1487.94202
Alizadeh, Shahram; Baleanu, Dumitru; Rezapour, Shahram
68
2020
A new fractional modelling and control strategy for the outbreak of dengue fever. Zbl 07571256
Jajarmi, Amin; Arshad, Sadia; Baleanu, Dumitru
67
2019
On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010
Adjabi, Y.; Jarad, F.; Baleanu, D.; Abdeljawad, T.
66
2016
Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325
Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru
66
2019
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
66
2017
On fractional calculus with general analytic kernels. Zbl 1428.26011
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru
65
2019
Fractional Bloch equation with delay. Zbl 1217.34123
Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard
64
2011
A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel. Zbl 1489.65112
Ganji, R. M.; Jafari, H.; Baleanu, D.
64
2020
A new adaptive synchronization and hyperchaos control of a biological snap oscillator. Zbl 1490.92005
Sajjadi, Samaneh Sadat; Baleanu, Dumitru; Jajarmi, Amin; Pirouz, Hassan Mohammadi
64
2020
Stability of \(q\)-fractional non-autonomous systems. Zbl 1258.34014
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
64
2013
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
64
2019
Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives. Zbl 1298.35243
Yang, Xiao-Jun; Srivastava, H. M.; He, Ji-Huan; Baleanu, Dumitru
63
2013
On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025
Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen
62
2015
An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. Zbl 1427.65324
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
62
2018
Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015
Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru
61
2016
Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048
Abdeljawad, Thabet; Baleanu, Dumitru
61
2017
New exact solutions of Burgers’ type equations with conformable derivative. Zbl 1375.35595
Çenesiz, Yücel; Baleanu, Dumitru; Kurt, Ali; Tasbozan, Orkun
60
2017
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
59
2008
Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. Zbl 1374.34306
Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da
59
2017
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
59
2012
A new approach for solving a system of fractional partial differential equations. Zbl 1381.35221
Jafari, H.; Nazari, M.; Baleanu, D.; Khalique, C. M.
58
2013
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
57
2013
Fractional optimal control problems with several state and control variables. Zbl 1269.49002
Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru
56
2010
A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. Zbl 1485.37075
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
56
2020
Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046
Wu, Guo-Cheng; Baleanu, Dumitru
56
2013
Discrete chaos in fractional sine and standard maps. Zbl 1331.37048
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da
55
2014
Two fractional derivative inclusion problems via integral boundary condition. Zbl 1338.34048
Agarwal, Ravi P.; Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram
55
2015
Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation. Zbl 1429.65183
Hajipour, Mojtaba; Jajarmi, Amin; Malek, Alaeddin; Baleanu, Dumitru
55
2018
Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system. Zbl 1494.34137
Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham
55
2021
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
55
2018
New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. Zbl 1312.65166
Bhrawy, Ali; Alhamed, Yahia; Baleanu, Dumitru; Al-Zahrani, Abdulrahim
54
2014
On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031
Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
53
2011
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
53
2018
The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1]\) and the existence of solutions for two higher-order series-type differential equations. Zbl 1446.34009
Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
53
2018
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008
Baleanu, Dumitru; Trujillo, Juan I.
52
2010
A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
52
2017
Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives. Zbl 1152.81550
Maraaba, Thabet; Baleanu, Dumitru; Jarad, Fahd
52
2008
Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions. Zbl 1508.26006
Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M.
52
2019
On shifted Jacobi spectral approximations for solving fractional differential equations. Zbl 1291.65207
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Ezz-Eldien, S. S.
52
2013
On the solution set for a class of sequential fractional differential equations. Zbl 1216.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
52
2010
A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. Zbl 1302.65175
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M.
52
2014
A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel. Zbl 1448.65062
Baleanu, D.; Shiri, B.; Srivastava, H. M.; Al Qurashi, M.
52
2018
Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011
Abdeljawad, Thabet; Baleanu, Dumitru
51
2017
A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients. Zbl 1292.65109
Bhrawy, A. H.; Baleanu, D.
51
2013
Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211
Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali
51
2018
A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
49
2017
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004
Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru
49
2013
A novel expansion iterative method for solving linear partial differential equations of fractional order. Zbl 1339.65201
El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed
49
2015
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. Zbl 07609370
Heydari, M. H.; Razzaghi, M.; Baleanu, D.
4
2023
A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models. Zbl 1524.65637
Alam, Mohammad Prawesh; Khan, Arshad; Baleanu, Dumitru
3
2023
Exact solutions of the fractional time-derivative Fokker-Planck equation: a novel approach. Zbl 07782458
Abdel-Gawad, Hamdy I.; Sweilam, Nasser H.; Al-Mekhlafi, Seham M.; Baleanu, Dumitru
1
2023
A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. Zbl 07704432
Odibat, Zaid; Baleanu, Dumitru
1
2023
Solitons of the \((1 + 1)\)- and \((2 + 1)\)-dimensional chiral nonlinear Schrodinger equations with the Jacobi elliptical function method. Zbl 1515.35259
Tala-Tebue, Eric; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru; Korkmaz, Alper
1
2023
Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative. Zbl 1505.26017
Jajarmi, Amin; Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Nieto, Juan J.
21
2022
A general fractional formulation and tracking control for immunogenic tumor dynamics. Zbl 07787256
Jajarmi, Amin; Baleanu, Dumitru; Zarghami Vahid, Kianoush; Mobayen, Saleh
12
2022
On time fractional pseudo-parabolic equations with nonlocal integral conditions. Zbl 1497.35503
Tuan, Nguyen Anh; O&rsquo;Regan, Donal; Baleanu, Dumitru; Tuan, Nguyen H.
8
2022
A general fractional pollution model for lakes. Zbl 1513.34331
Shiri, Babak; Baleanu, Dumitru
7
2022
An inverse source problem for pseudo-parabolic equation with Caputo derivative. Zbl 1490.35542
Long, Le Dinh; Luc, Nguyen Hoang; Tatar, Salih; Baleanu, Dumitru; Can, Nguyen Huu
4
2022
The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. Zbl 07533815
Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, Dumitru
4
2022
On constrained minimization, variational inequality and split feasibility problem via new iteration scheme in Banach spaces. Zbl 1510.47086
Garodia, Chanchal; Uddin, Izhar; Baleanu, Dumitru
4
2022
The geophysical KdV equation: its solitons, complexiton, and conservation laws. Zbl 1492.35266
Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Akinyemi, L.
3
2022
A Taylor-Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations. Zbl 1510.65195
Izadi, Mohammad; Yüzbaşı, Şuayip; Baleanu, Dumitru
3
2022
Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics. Zbl 1475.74008
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
3
2022
New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel. Zbl 07513340
Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Brzo, Aram Bahroz; Baleanu, Dumitru; Hamed, Yasser S.
2
2022
Finite-time stability results for fractional damped dynamical systems with time delays. Zbl 1500.34067
Arthi, Ganesan; Brindha, Nallasamy; Baleanu, Dumitru
2
2022
Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems. Zbl 1513.65230
Abdelhakem, M.; Ahmed, A.; Baleanu, D.; El-kady, M.
2
2022
On an extension of the operator with Mittag-Leffler kernel. Zbl 1514.34008
Al-Refai, Mohammed; Baleanu, Dumitru
2
2022
On a problem for the nonlinear diffusion equation with conformable time derivative. Zbl 1500.35291
Au, Vo Van; Baleanu, Dumitru; Zhou, Yong; Huu Can, Nguyen
2
2022
Lucas wavelet scheme for fractional Bagley-Torvik equations: Gauss-Jacobi approach. Zbl 1485.65089
Koundal, Reena; Kumar, Rakesh; Srivastava, K.; Baleanu, D.
2
2022
The Sharma-Tasso-Olver-Burgers equation: its conservation laws and kink solitons. Zbl 1512.35507
Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.
2
2022
Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation. Zbl 1500.34056
Muhib, A.; Dassios, I.; Baleanu, D.; Santra, S. S.; Moaaz, O.
1
2022
Third-order neutral differential equations of the mixed type: oscillatory and asymptotic behavior. Zbl 1497.34097
Qaraad, B.; Moaaz, O.; Baleanu, D.; Santra, S. S.; Ali, R.; Elabbasy, E. M.
1
2022
Oscillation result for half-linear delay difference equations of second-order. Zbl 1490.39015
Jayakumar, Chinnasamy; Santra, Shyam Sundar; Baleanu, Dumitru; Edwan, Reem; Govindan, Vediyappan; Murugesan, Arumugam; Altanji, Mohamed
1
2022
Some further properties of discrete Muckenhoupt and Gehring weights. Zbl 1500.26017
Saker, Samir H.; Krnić, Mario; Baleanu, Dumitru
1
2022
Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix. Zbl 1518.65079
Taleshian, Amir Hosein; Alipour, Mohsen; Babakhani, Azizollah; Baleanu, Dumitru
1
2022
Existence and controllability of a class of non-autonomous nonlinear evolution fractional integrodifferential equations with delay. Zbl 1510.34168
Mishra, Kamla Kant; Dubey, Shruti; Baleanu, Dumitru
1
2022
Swarming optimization to analyze the fractional derivatives and perturbation factors for the novel singular model. Zbl 1508.65068
Sabir, Zulqurnain; Said, Salem Ben; Baleanu, Dumitru
1
2022
A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems. Zbl 1513.65010
Sabir, Zulqurnain; Baleanu, Dumitru; Ali, Mohamed R.; Sadat, R.
1
2022
Projectile motion using three parameter Mittag-Leffler function calculus. Zbl 07487702
Bokhari, Ahmed; Belgacem, Rachid; Kumar, Sunil; Baleanu, Dumitru; Djilali, Salih
1
2022
Regularization of the inverse problem for time fractional pseudo-parabolic equation with non-local in time conditions. Zbl 1509.35356
Phuong, Nguyen Duc; Long, Le Dinh; Nguyen, Anh Tuan; Baleanu, Dumitru
1
2022
On Ritz approximation for a class of fractional optimal control problems. Zbl 1516.49026
Firoozjaee, Mohammad Arab; Jafari, Hossein; Johnston, Sarah Jane; Baleanu, Dumitru
1
2022
A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space. Zbl 07660086
Arjunan, Mani Mallika; Kavitha, Velusamy; Baleanu, Dumitru
1
2022
Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types. Zbl 1528.26008
Mohammed, Pshtiwan Othman; Srivastava, Hari Mohan; Baleanu, Dumitru; Elattar, Ehab E.; Hamed, Y. S.
1
2022
Lie group theory for nonlinear fractional \(K(m, n)\) type equation with variable coefficients. Zbl 1479.35736
Jafari, H.; Kadkhoda, N.; Baleanu, Dumitru
1
2022
The Caputo-Fabrizio time-fractional Sharma-Tasso-Olver-Burgers equation and its valid approximations. Zbl 1511.35366
Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Baleanu, Dumitru; Park, Choonkil; Salahshour, Soheil
1
2022
Some new dynamic Gronwall-Bellman-Pachpatte type inequalities with delay on time scales and certain applications. Zbl 1506.26027
El-Deeb, Ahmed A.; Baleanu, Dumitru
1
2022
Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system. Zbl 1494.34137
Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham
55
2021
On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control. Zbl 1494.34138
Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Defterli, Özlem
47
2021
A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system. Zbl 1494.65060
Baleanu, Dumitru; Zibaei, Sadegh; Namjoo, Mehran; Jajarmi, Amin
32
2021
Discrete fractional calculus for interval-valued systems. Zbl 1464.39007
Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong
26
2021
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114
Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru
20
2021
Fractional calculus in the sky. Zbl 1494.26007
Baleanu, Dumitru; Agarwal, Ravi P.
18
2021
Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
18
2021
Classes of operators in fractional calculus: a case study. Zbl 1517.26006
Fernandez, Arran; Baleanu, Dumitru
17
2021
An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law. Zbl 1471.35301
Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Baleanu, Dumitru
15
2021
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense. Zbl 07428957
Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; Salahshour, Soheil
13
2021
Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations. Zbl 1484.34035
Muthaiah, Subramanian; Baleanu, Dumitru; Thangaraj, Nandha Gopal
13
2021
Analysis of the fractional corona virus pandemic via deterministic modeling. Zbl 1472.34097
Tuan, Nguyen Huy; Tri, Vo Viet; Baleanu, Dumitru
13
2021
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation. Zbl 1498.35455
Jhangeer, Adil; Hussain, Amjad; Junaid-U-Rehman, M.; Baleanu, Dumitru; Riaz, Muhammad Bilal
12
2021
A class of time-fractional Dirac type operators. Zbl 1505.47050
Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan
12
2021
A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244
Baleanu, Dumitru; Etemad, Sina; Mohammadi, Hakimeh; Rezapour, Shahram
12
2021
SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels. Zbl 1524.92096
Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru
12
2021
On quantum hybrid fractional conformable differential and integral operators in a complex domain. Zbl 1468.30041
Ibrahim, Rabha W.; Baleanu, Dumitru
11
2021
On the approximate solutions for a system of coupled Korteweg-de Vries equations with local fractional derivative. Zbl 07465612
Jafari, Hossein; Jassim, Hassan Kamil; Baleanu, Dumitru; Chu, Yu-Ming
11
2021
Fractional Mayer neuro-swarm heuristic solver for multi-fractional order doubly singular model based on Lane-Emden equation. Zbl 1481.65104
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru
11
2021
Pattern formation in superdiffusion predator-prey-like problems with integer- and noninteger-order derivatives. Zbl 1475.35360
Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru
10
2021
Some exact solutions of a variable coefficients fractional biological population model. Zbl 1475.35345
Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru
10
2021
An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations. Zbl 1487.65162
Ali, Ihteram; Haq, Sirajul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
9
2021
General Raina fractional integral inequalities on coordinates of convex functions. Zbl 1487.26030
Baleanu, Dumitru; Kashuri, Artion; Mohammed, Pshtiwan Othman; Meftah, Badreddine
9
2021
Achieving more precise bounds based on double and triple integral as proposed by generalized proportional fractional operators in the Hilfer sense. Zbl 1481.26004
Al-Qurashi, Maysaa; Rashid, Saima; Karaca, Yeliz; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming
9
2021
Approximation of fixed point and its application to fractional differential equation. Zbl 1475.54030
Khatoon, Sabiya; Uddin, Izhar; Baleanu, Dumitru
8
2021
Analysis and applications of the proportional Caputo derivative. Zbl 1494.26004
Akgül, Ali; Baleanu, Dumitru
8
2021
Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel. Zbl 1494.65104
Sadri, Khadijeh; Hosseini, Kamyar; Baleanu, Dumitru; Ahmadian, Ali; Salahshour, Soheil
8
2021
Henry-Gronwall type \(q\)-fractional integral inequalities. Zbl 1470.39018
Ben Makhlouf, Abdellatif; Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru
8
2021
Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems. Zbl 1494.65064
Abdelhakem, Mohamed; Mahmoud, Doha; Baleanu, Dumitru; El-kady, Mamdouh
7
2021
Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions. Zbl 1494.34060
Subramanian, Muthaiah; Alzabut, Jehad; Baleanu, Dumitru; Samei, Mohammad Esmael; Zada, Akbar
7
2021
Optimal solutions for singular linear systems of Caputo fractional differential equations. Zbl 1478.34007
Dassios, Ioannis; Baleanu, Dumitru
7
2021
Collision phenomena among lump, periodic and soliton solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton model. Zbl 07409584
Ullah, Mohammad Safi; Zulfikar Ali, M.; Roshid, Harun-Or; Seadawy, A. R.; Baleanu, Dumitru
7
2021
Criteria for existence of solutions for a Liouville-Caputo boundary value problem via generalized Gronwall’s inequality. Zbl 1504.34012
Mohammadi, Hakimeh; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
7
2021
A fractal fractional model for cervical cancer due to human papillomavirus infection. Zbl 1489.37103
Akgül, A.; Ahmed, N.; Raza, A.; Iqbal, Z.; Rafiq, M.; Rehman, M. A.; Baleanu, D.
7
2021
New Newton’s type estimates pertaining to local fractional integral via generalized \(p\)-convexity with applications. Zbl 1487.26011
Li, Yong-Min; Rashid, Saima; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming
7
2021
Design of neuro-swarming heuristic solver for multi-pantograph singular delay differential equation. Zbl 1481.65098
Sabir, Zulqurnain; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Guirao, Juan L. G.
7
2021
An efficient computational approach for local fractional Poisson equation in fractal media. Zbl 07776024
Singh, Jagdev; Ahmadian, Ali; Rathore, Sushila; Kumar, Devendra; Baleanu, Dumitru; Salimi, Mehdi; Salahshour, Soheil
6
2021
New multi-functional approach for \(\kappa\)th-order differentiability governed by fractional calculus via approximately generalized \((\psi, \hbar)\)-convex functions in Hilbert space. Zbl 1512.26006
Wang, Miao-Kun; Rashid, Saima; Karaca, Yeliz; Baleanu, Dumitru; Chu, Yu-Ming
6
2021
Identifying the source function for time fractional diffusion with non-local in time conditions. Zbl 1476.35113
Luc, Nguyen Hoang; Baleanu, Dumitru; Agarwal, Ravi P.; Long, Le Dinh
5
2021
A Razumikhin approach to stability and synchronization criteria for fractional order time delayed gene regulatory networks. Zbl 1484.34172
Anbalagan, Pratap; Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Niezabitowski, Michal
5
2021
Applications of Gudermannian neural network for solving the SITR fractal system. Zbl 1514.92160
Sabir, Zulqurnain; Umar, Muhammad; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru
5
2021
On a combination of fractional differential and integral operators associated with a class of normalized functions. Zbl 1525.30011
Ibrahim, Rabha W.; Baleanu, Dumitru
5
2021
Periodic and rogue waves for Heisenberg models of ferromagnetic spin chains with fractional beta derivative evolution and obliqueness. Zbl 1500.82006
Uddin, M. Farhad; Hafez, M. Golam; Hammouch, Zakia; Baleanu, Dumitru
5
2021
Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative. Zbl 1485.92108
Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru
5
2021
Analysis of time-fractional dynamical model of romantic and interpersonal relationships with non-singular kernels: a comparative study. Zbl 1470.91210
Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Jena, Subrat Kumar
5
2021
Existence and uniqueness of solutions for a nabla fractional boundary value problem with discrete Mittag-Leffler kernel. Zbl 1481.39013
Jonnalagadda, Jagan Mohan; Baleanu, Dumitru
4
2021
New iterative approach for the solutions of fractional order inhomogeneous partial differential equations. Zbl 1484.65285
Zada, Laiq; Nawaz, Rashid; Ahsan, Sumbal; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
4
2021
A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator. Zbl 1487.92004
Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru
4
2021
Delay-coupled fractional order complex Cohen-Grossberg neural networks under parameter uncertainty: synchronization stability criteria. Zbl 1525.34013
Anbalagan, Pratap; Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Huang, Chuangxia; Niezabitowski, Michal
4
2021
Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach. Zbl 1498.92005
Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru
4
2021
Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats. Zbl 1498.92278
Zafar, Zain Ul Abadin; Ali, Nigar; Baleanu, Dumitru
4
2021
On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V.
4
2021
A new fractional SICA model and numerical method for the transmission of HIV/AIDS. Zbl 1470.92357
Ullah, Malik Zaka; Baleanu, Dumitru
4
2021
New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
4
2021
Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme. Zbl 1475.65062
Aghdam, Yones Esmaeelzade; Safdari, Hamid; Azari, Yaqub; Jafari, Hossein; Baleanu, Dumitru
3
2021
A new integral operational matrix with applications to multi-order fractional differential equations. Zbl 1484.34067
Talib, Imran; Alam, Md. Nur; Baleanu, Dumitru; Zaidi, Danish; Marriyam, Ammarah
3
2021
Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function. Zbl 1484.26047
Baleanu, Dumitru; Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar
3
2021
Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses. Zbl 1484.34169
Kasinathan, Ramkumar; Kasinathan, Ravikumar; Baleanu, Dumitru; Annamalai, Anguraj
3
2021
The analytical analysis of nonlinear fractional-order dynamical models. Zbl 1484.65284
Xu, Jiabin; Khan, Hassan; Shah, Rasool; Alderremy, A. A.; Aly, Shaban; Baleanu, Dumitru
3
2021
New approximate analytical technique for the solution of time fractional fluid flow models. Zbl 1487.35401
Farooq, Umar; Khan, Hassan; Tchier, Fairouz; Hincal, Evren; Baleanu, Dumitru; Bin Jebreen, Haifa
3
2021
The (2+1)-dimensional hyperbolic nonlinear Schrödinger equation and its optical solitons. Zbl 1525.37078
Baleanu, Dumitru; Hosseini, Kamyar; Salahshour, Soheil; Sadri, Khadijeh; Mirzazadeh, Mohammad; Park, Choonkil; Ahmadian, Ali
3
2021
Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme. Zbl 1518.65118
Jaradat, Imad; Alquran, Marwan; Sivasundaram, Seenith; Baleanu, Dumitru
3
2021
...and 769 more Documents
all top 5

Cited by 9,157 Authors

568 Băleanu, Dumitru I.
223 Abdeljawad, Thabet
142 Rezapour, Shahram
125 Ahmad, Bashir
110 Sooppy Nisar, Kottakkaran
105 Ntouyas, Sotiris K.
97 Jarad, Fahd
93 Gómez-Aguilar, José Francisco
86 Shah, Kamal
84 Machado, José António Tenreiro
81 Chu, Yuming
76 Agarwal, Ravi P.
71 Etemad, Sina
70 Atangana, Abdon
69 Inc, Mustafa
67 Nieto Roig, Juan Jose
66 Al-saedi, Ahmed Eid Salem
65 Agarwal, Praveen
63 Akgül, Ali
61 Alzabut, Jehad O.
57 Rashid, Saima
57 Yang, Xiao-Jun
56 Jafari, Hossein
56 Kumar, Devendra
54 Benchohra, Mouffak
52 Salahshour, Soheil
52 Singh, Jagdev
52 Torres, Delfim Fernando Marado
51 O’Regan, Donal
49 Farid, Ghulam
49 Wang, Guotao
48 Khan, Aziz Ullah
46 Bhrawy, Ali Hassan
45 Khan, Hasib
45 Srivastava, Hari Mohan
45 Tariboon, Jessada
45 Zhou, Yong
43 Wang, Jinrong
42 Rahman, Gauhar
41 Ahmadian, Ali
40 Samei, Mohammad Esmael
40 Wu, Guocheng
39 Momani, Shaher M.
38 Fernandez, Arran
37 Kumar, Sunil
37 Ordokhani, Yadollah
37 Vijayakumar, Velusamy
36 Zada, Akbar
35 Abdo, Mohammed Salem
35 Almeida, Ricardo
35 Yusuf, Abdullahi A.
34 Owolabi, Kolade Matthew
34 Zhang, Lihong
33 Baskonus, Haci Mehmet
32 Hammouch, Zakia
32 Razzaghi, Mohsen
31 Kumam, Poom
30 Doha, Eid H.
29 Abdelkawy, Mohamed A.
29 Li, Changpin
29 Nguyen Huy Tuan
29 Purohit, Sunil Dutt
29 Sitthiwirattham, Thanin
28 Al-Smadi, Mohammed H.
28 Golmankhaneh, Alireza Khalili
28 Liu, Fawang
28 Mohammed, Pshtiwan Othman
28 Zaky, Mahmoud A.
27 Al-Omari, Shrideh Khalaf Qasem
27 Cattani, Carlo
27 Debbouche, Amar
27 Ibrahim, Rabha Waell
27 Ouannas, Adel
26 Saad, Khaled Mohammed
26 Veeresha, Pundikala
25 Abbas, Said
25 Cao, Jinde
25 Heydari, Mohammad Hossein
25 Zhang, Yi
24 Hashemi, Mir Sajjad
24 Khan, Ilyas
24 Kiliçman, Adem
24 Lopes, António M.
24 Ravichandran, Chokkalingam
23 Avazzadeh, Zakieh
23 Ezz-Eldien, Samer S.
23 Khan, Muhammad Altaf
23 Muslih, Sami I.
23 Ngo Van Hoa
23 Saha Ray, Santanu
22 Budak, Hüseyin
22 Chen, Yangquan
22 Dehghan Takht Fooladi, Mehdi
22 Ghanbari, Behzad
22 Khater, Mostafa M. A.
22 Mohammadi, Hakimeh
22 Rezazadeh, Hadi
22 Seadawy, Aly R.
22 Sun, Hongguang
22 Trujillo, Juan J.
...and 9,057 more Authors
all top 5

Cited in 469 Serials

917 Advances in Difference Equations
454 Chaos, Solitons and Fractals
311 Fractals
264 Mathematical Methods in the Applied Sciences
248 Applied Mathematics and Computation
216 International Journal of Applied and Computational Mathematics
210 Abstract and Applied Analysis
171 Computational and Applied Mathematics
171 AIMS Mathematics
167 Journal of Function Spaces
165 Communications in Nonlinear Science and Numerical Simulation
163 Fractional Calculus & Applied Analysis
143 Journal of Computational and Applied Mathematics
143 Nonlinear Dynamics
125 Mathematical Problems in Engineering
122 Boundary Value Problems
114 Computers & Mathematics with Applications
111 Journal of Inequalities and Applications
109 Advances in Mathematical Physics
106 Physica A
89 Mathematics and Computers in Simulation
79 Applied Numerical Mathematics
79 Journal of Applied Mathematics and Computing
78 Discrete and Continuous Dynamical Systems. Series S
77 Numerical Methods for Partial Differential Equations
74 International Journal of Nonlinear Sciences and Numerical Simulation
64 International Journal of Computer Mathematics
62 Discrete Dynamics in Nature and Society
62 Journal of Nonlinear Science and Applications
57 Applied Mathematics Letters
56 Applied Mathematical Modelling
55 Chaos
48 Qualitative Theory of Dynamical Systems
47 Filomat
46 Journal of Mathematical Extension
45 Complexity
45 Mediterranean Journal of Mathematics
44 Journal of Mathematics
41 Mathematical Sciences
40 Turkish Journal of Mathematics
38 International Journal of Theoretical Physics
38 Journal of the Franklin Institute
38 Journal of Vibration and Control
36 Journal of Optimization Theory and Applications
36 Numerical Algorithms
34 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Nonlinear Analysis. Modelling and Control
31 International Journal of Biomathematics
30 Mathematical Biosciences and Engineering
30 Computational Methods for Differential Equations
29 Waves in Random and Complex Media
29 Mathematical Modelling of Natural Phenomena
29 Open Mathematics
27 Journal of Computational Physics
27 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
26 Tbilisi Mathematical Journal
26 International Journal of Systems Science. Principles and Applications of Systems and Integration
25 Journal of Mathematical Physics
25 Demonstratio Mathematica
25 Fuzzy Sets and Systems
25 Journal of Scientific Computing
24 Journal of Mathematical Analysis and Applications
23 International Journal of Differential Equations
22 Journal of Difference Equations and Applications
21 S\(\vec{\text{e}}\)MA Journal
21 Fractional Differential Calculus
20 Applicable Analysis
20 Differential Equations and Dynamical Systems
20 Journal of Applied Mathematics
19 Acta Mechanica
18 Physics Letters. A
18 Neural Networks
18 Symmetry
18 Asian Journal of Control
18 Journal of Applied Analysis and Computation
18 Evolution Equations and Control Theory
17 Electronic Research Archive
16 Rendiconti del Circolo Matemàtico di Palermo. Serie II
16 Mathematical Modelling and Analysis
16 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
16 Kragujevac Journal of Mathematics
16 Applications and Applied Mathematics
16 Communications in Theoretical Physics
16 Palestine Journal of Mathematics
16 Mathematics
15 Reports on Mathematical Physics
15 Rocky Mountain Journal of Mathematics
15 Soft Computing
15 Lobachevskii Journal of Mathematics
15 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
15 Journal of Fixed Point Theory and Applications
15 Arabian Journal of Mathematics
15 Journal of Applied Nonlinear Dynamics
14 International Journal of Control
14 Asian-European Journal of Mathematics
14 Afrika Matematika
14 Journal of Mathematical Modeling
13 Journal of Geometry and Physics
13 Journal of Pseudo-Differential Operators and Applications
12 Circuits, Systems, and Signal Processing
...and 369 more Serials
all top 5

Cited in 57 Fields

3,535 Ordinary differential equations (34-XX)
2,878 Real functions (26-XX)
2,337 Partial differential equations (35-XX)
1,989 Numerical analysis (65-XX)
891 Operator theory (47-XX)
821 Biology and other natural sciences (92-XX)
759 Systems theory; control (93-XX)
545 Integral equations (45-XX)
433 Special functions (33-XX)
406 Difference and functional equations (39-XX)
384 Calculus of variations and optimal control; optimization (49-XX)
366 Dynamical systems and ergodic theory (37-XX)
285 Fluid mechanics (76-XX)
244 Probability theory and stochastic processes (60-XX)
214 Integral transforms, operational calculus (44-XX)
155 Statistical mechanics, structure of matter (82-XX)
153 Mechanics of particles and systems (70-XX)
141 Mechanics of deformable solids (74-XX)
122 Approximations and expansions (41-XX)
121 Measure and integration (28-XX)
115 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Information and communication theory, circuits (94-XX)
101 Harmonic analysis on Euclidean spaces (42-XX)
101 Quantum theory (81-XX)
90 Optics, electromagnetic theory (78-XX)
84 General topology (54-XX)
80 Operations research, mathematical programming (90-XX)
79 Computer science (68-XX)
69 Functional analysis (46-XX)
53 Combinatorics (05-XX)
52 Classical thermodynamics, heat transfer (80-XX)
51 Functions of a complex variable (30-XX)
45 Relativity and gravitational theory (83-XX)
37 Number theory (11-XX)
32 Global analysis, analysis on manifolds (58-XX)
29 Differential geometry (53-XX)
25 Geophysics (86-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
24 Statistics (62-XX)
15 Potential theory (31-XX)
15 Sequences, series, summability (40-XX)
11 Topological groups, Lie groups (22-XX)
11 Abstract harmonic analysis (43-XX)
9 Several complex variables and analytic spaces (32-XX)
8 General and overarching topics; collections (00-XX)
6 Mathematical logic and foundations (03-XX)
5 History and biography (01-XX)
5 Convex and discrete geometry (52-XX)
4 Mathematics education (97-XX)
3 Nonassociative rings and algebras (17-XX)
3 Algebraic topology (55-XX)
3 Astronomy and astrophysics (85-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
1 Algebraic geometry (14-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year