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Băleanu, Dumitru I.

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Author ID: baleanu.dumitru-i Recent zbMATH articles by "Băleanu, Dumitru I."
Published as: Baleanu, D.; Baleanu, Dumitru; Baleanu, Dumitru I.; Băleanu, D.; Băleanu, Dumitru; Băleanu, Dumitru I.; Bǎleanu, D.
Homepage: http://www.intechopen.com/profiles/105623/Dumitru-Baleanu
External Links: ResearchGate · dblp · arXiv · GND
Documents Indexed: 655 Publications since 1990, including 22 Books
all top 5

Co-Authors

18 single-authored
32 Abdeljawad, Thabet
29 Wu, Guocheng
28 Muslih, Sami I.
27 Yang, Xiao-Jun
26 Bhrawy, Ali Hassan
25 Jafari, Hossein
24 Golmankhaneh, Alireza Khalili
24 Machado, José António Tenreiro
23 Jarad, Fahd
23 Rezapour, Shahram
22 Inc, Mustafa
18 Salahshour, Soheil
16 Agarwal, Ravi P.
16 Doha, Eid H.
16 Rabei, Eqab M.
15 Jajarmi, Amin
15 Mustafa, Octavian G.
15 Yusuf, Abdullahi A.
14 Kumar, Devendra
13 Singh, Jagdev
13 Srivastava, Hari Mohan
12 Al Qurashi, Maysaa’ Mohamed
12 Aliyu, Aliyu Isa
12 Golmankhaneh, Ali Khalili
12 Khan, Hasib
12 Taş, Kenan
11 Ahmadian, Ali
11 Hajipour, Mojtaba
10 Arjunan, Mani Mallika
10 Purohit, Sunil Dutt
10 Suganya, Selvaraj
9 Agarwal, Praveen
9 Ezz-Eldien, Samer S.
9 Herzallah, Mohamed A. E.
9 Khan, Rahmat Ali
9 Zeng, Shengda
8 Akgül, Ali
8 Alipour, Mohsen
8 Güler, Yurdahan
8 Kadem, Abdelouahab
8 Nguyen Huy Tuan
8 Ugurlu, Ekin
8 Wang, Guotao
7 Agrawal, Om Prakash
7 Al-Omari, Shrideh Khalaf Qasem
7 Dinç, Erdal
7 Fernandez, Arran
7 Hafez, Ramy Mahmoud
7 Jafarian, Ahmad
7 Khan, Aziz
7 Nigmatullin, Raoul R.
7 O’Regan, Donal
7 Trujillo, Juan J.
6 Abdelkawy, Mohamed A.
6 Agheli, Bahram
6 Atangana, Abdon
6 Babakhani, Azizollah
6 Darzi, Rahmat
6 Debbouche, Amar
6 Defterli, Ozlem
6 Mohammadi, Hakimeh
5 Allahviranloo, Tofigh
5 Baleanu, Mihaela Cristina
5 Cattani, Carlo
5 Daftardar-Gejji, Varsha
5 Gómez-Aguilar, José Francisco
5 Hashemi, Mir Sajjad
5 Kalamani, Palaniyappan
5 Momani, Shaher M.
5 Nazemi, Sayyedeh Zahra
5 Rafiq, Muhammad
5 Razminia, Abolhassan
5 Saad, Khaled Mohammed
5 Salehi, Saeid
5 Shah, Kamal
5 Zhang, Lihong
5 Zhao, Yang
4 Abbas, Muhammad
4 Ahmed, Nauman
4 Akman Yıldız, Tuğba
4 Alquran, Marwan Taiseer
4 Alqurashi, Maysaa M.
4 Al-saedi, Ahmed Eid Salem
4 Amin, Ahmed Z. M.
4 Arshad, Sadia
4 Başkal, Sibel
4 Bhalekar, Sachin
4 Chen, Wen
4 Dassios, Ioannis K.
4 Delavari, Hadi
4 Deng, Zhenguo
4 Ghanbari, Behzad
4 Jaradat, Imad
4 Luo, Albert C. J.
4 Magin, Richard Lloyd
4 Mousalou, Asef
4 Nyamoradi, Nemat
4 Shiri, Babak
4 Sooppy Nisar, Kottakkaran
4 Sun, Hongguang
...and 432 more Co-Authors
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Serials

90 Advances in Difference Equations
59 Abstract and Applied Analysis
30 Mathematical Methods in the Applied Sciences
29 Communications in Nonlinear Science and Numerical Simulation
24 Nonlinear Dynamics
21 Applied Mathematics and Computation
20 Journal of Nonlinear Science and Applications
18 Romanian Journal of Physics
16 Journal of Vibration and Control
15 International Journal of Theoretical Physics
15 Chaos, Solitons and Fractals
15 Chaos
14 Computers & Mathematics with Applications
13 Fractional Calculus & Applied Analysis
12 Applied Numerical Mathematics
10 Journal of Computational Analysis and Applications
10 Boundary Value Problems
9 Advances in Mathematical Physics
8 Czechoslovak Journal of Physics
7 Mathematical Problems in Engineering
6 Journal of Mathematical Physics
6 Reports on Mathematical Physics
6 Journal of Computational and Applied Mathematics
5 Journal of Inequalities and Applications
5 Nonlinear Analysis. Modelling and Control
5 Journal of Physics A: Mathematical and Theoretical
5 Nonlinear Systems and Complexity
4 Helvetica Physica Acta
4 Applied Mathematical Modelling
4 Computational and Applied Mathematics
4 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică
4 Physica Scripta
4 Nonlinear Analysis. Real World Applications
3 Modern Physics Letters A
3 International Journal of Modern Physics A
3 Journal of Computational Physics
3 Physica 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 Mathematical Modelling of Natural Phenomena
3 International Journal of Biomathematics
3 Journal of Mathematics
3 Journal of Function Spaces
3 Open Mathematics
2 Journal of Mathematical Analysis and Applications
2 Physics Letters. A
2 Optimal Control Applications & Methods
2 Signal Processing
2 International Journal of Computer Mathematics
2 Turkish Journal of Mathematics
2 Fractals
2 Nonlinear Studies
2 Electronic Journal of Qualitative Theory of Differential Equations
2 Analysis (München)
2 Fundamenta Informaticae
2 Entropy
2 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science
2 Hacettepe Journal of Mathematics and Statistics
2 Miskolc Mathematical Notes
2 Discrete and Continuous Dynamical Systems. Series S
2 Communications in Theoretical Physics
2 Symmetry
2 Springer Proceedings in Mathematics & Statistics
2 Journal of Applied Nonlinear Dynamics
2 Discontinuity, Nonlinearity, and Complexity
2 Mathematics
2 Handbook of Fractional Calculus with Applications
1 Acta Mechanica
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 Collectanea Mathematica
1 Fuzzy Sets and Systems
1 Mathematics and Computers in Simulation
1 Quaestiones Mathematicae
1 Bulletin of the Korean Mathematical Society
1 Note di Matematica
1 Numerical Methods for Partial Differential Equations
1 Science in China. Series A
1 Acta Mathematica Universitatis Comenianae. New Series
1 Numerical Algorithms
1 Dynamic Systems and Applications
1 Journal of Physics A: Mathematical and General
1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
1 Continuum Mechanics and Thermodynamics
1 International Journal of Modern Physics D
1 Electronic Journal of Differential Equations (EJDE)
1 Differential Equations and Dynamical Systems
1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest
1 Analele Universităţii din Oradea. Fascicola Matematică
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Gravitation & Cosmology
1 Journal of Applied Mathematics
1 Acta Physica Polonica B
...and 16 more Serials
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Fields

266 Ordinary differential equations (34-XX)
222 Real functions (26-XX)
164 Partial differential equations (35-XX)
130 Numerical analysis (65-XX)
50 Integral equations (45-XX)
48 Operator theory (47-XX)
47 Mechanics of particles and systems (70-XX)
38 Biology and other natural sciences (92-XX)
38 Systems theory; control (93-XX)
36 Special functions (33-XX)
35 Difference and functional equations (39-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
27 Dynamical systems and ergodic theory (37-XX)
26 Quantum theory (81-XX)
24 General and overarching topics; collections (00-XX)
17 Integral transforms, operational calculus (44-XX)
17 Relativity and gravitational theory (83-XX)
16 Fluid mechanics (76-XX)
15 Mechanics of deformable solids (74-XX)
14 Differential geometry (53-XX)
12 Measure and integration (28-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Functional analysis (46-XX)
12 Optics, electromagnetic theory (78-XX)
10 Probability theory and stochastic processes (60-XX)
9 Information and communication theory, circuits (94-XX)
7 Approximations and expansions (41-XX)
7 General topology (54-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Operations research, mathematical programming (90-XX)
5 Statistics (62-XX)
4 Computer science (68-XX)
3 Combinatorics (05-XX)
3 Functions of a complex variable (30-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Convex and discrete geometry (52-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH

510 Publications have been cited 7,247 times in 3,560 Documents Cited by Year
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
561
2012
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
108
2014
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360
Baleanu, Dumitru; Muslih, Sami I.
99
2005
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047
Agrawal, Om. P.; Baleanu, Dumitru
97
2007
Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013
Debbouche, Amar; Baleanu, Dumitru
83
2011
On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006
Băleanu, Dumitru; Mustafa, Octavian G.
81
2010
The Hamilton formalism with fractional derivatives. Zbl 1104.70012
Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru
81
2007
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.
80
2015
Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. Zbl 1149.70320
Muslih, Sami I.; Baleanu, Dumitru
80
2005
A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068
Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P.
72
2009
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
Baleanu, Dumitru (ed.); Tenreiro Machado, José António (ed.); Luo, Albert C. J. (ed.)
71
2012
Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
68
2012
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
66
2012
Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304
Baleanu, Dumitru; Agrawal, Om. P.
66
2006
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
Baleanu, Dumitru (ed.); Güvenç, Ziya Burhanettin (ed.); Tenreiro Machado, J. A. (ed.)
62
2010
An existence result for a superlinear fractional differential equation. Zbl 1200.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
61
2010
Local fractional integral transforms and their applications. Zbl 1336.44001
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
58
2016
Fractional Bloch equation with delay. Zbl 1217.34123
Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard
54
2011
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
54
2008
On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002
Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet
51
2014
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
51
2013
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
50
2016
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
48
2016
Fractional differences and integration by parts. Zbl 1225.39008
Abdeljawad, Thabet; Baleanu, Dumitru
46
2011
On \(L^{p}\)-solutions for a class of sequential fractional differential equations. Zbl 1235.34008
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
45
2011
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
44
2011
Two efficient generalized Laguerre spectral algorithms for fractional initial value problems. Zbl 1291.65240
Baleanu, D.; Bhrawy, A. H.; Taha, T. M.
42
2013
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.
42
2013
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.
42
2013
New properties of conformable derivative. Zbl 1354.26008
Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed
41
2015
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.
40
2014
Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046
Wu, Guo-Cheng; Baleanu, Dumitru
40
2013
Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
40
2013
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008
Baleanu, Dumitru; Trujillo, Juan I.
40
2010
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
40
2008
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
40
2008
On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025
Abdeljawad, Thabet; Baleanu, Dumitru
39
2017
Fractional optimal control problems with several state and control variables. Zbl 1269.49002
Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru
39
2010
On the solution set for a class of sequential fractional differential equations. Zbl 1216.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
39
2010
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211
Abdeljawad, Thabet; Baleanu, Dumitru
38
2016
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
38
2013
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
38
2012
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
37
2014
Stability of \(q\)-fractional non-autonomous systems. Zbl 1258.34014
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
37
2013
Nonlocal nonlinear integrodifferential equations of fractional orders. Zbl 1277.35337
Debbouche, Amar; Baleanu, Dumitru; Agarwal, Ravi P.
37
2012
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
36
2017
Generalized variational calculus in terms of multi-parameters fractional derivatives. Zbl 1236.49030
Agrawal, Om P.; Muslih, Sami I.; Baleanu, Dumitru
36
2011
Newtonian law with memory. Zbl 1189.70002
Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R.
36
2010
Fractional Hamiltonian analysis of higher order derivatives systems. Zbl 1112.81074
Baleanu, Dumitru; Muslih, Sami I.; Ta, Kenan
36
2006
Formulation of Hamiltonian equations for fractional variational problems. Zbl 1181.70017
Muslih, Sami I.; Baleanu, Dumitru
36
2005
Discrete chaos in fractional sine and standard maps. Zbl 1331.37048
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da
35
2014
On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031
Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
34
2011
Local fractional similarity solution for the diffusion equation defined on Cantor sets. Zbl 1388.35218
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
33
2015
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
33
2013
Monotone iterative method for a class of nonlinear fractional differential equations. Zbl 1273.34021
Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong
33
2012
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004
Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru
31
2013
On a new class of fractional operators. Zbl 1422.26004
Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru
30
2017
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
30
2017
Fractional variational optimal control problems with delayed arguments. Zbl 1209.49030
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
30
2010
Mittag-Leffler stability theorem for fractional nonlinear systems with delay. Zbl 1195.34013
Sadati, S. J.; Baleanu, D.; Ranjbar, A.; Ghaderi, R.; Abdeljawad, T. (Maraaba)
30
2010
Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048
Abdeljawad, Thabet; Baleanu, Dumitru
29
2017
Lattice fractional diffusion equation in terms of a Riesz-Caputo difference. Zbl 1400.60130
Wu, Guo-Cheng; Baleanu, Dumitru; Deng, Zhen-Guo; Zeng, Sheng-Da
29
2015
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
29
2015
Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices. Zbl 1358.93097
Alipour, Mohsen; Rostamy, Davood; Baleanu, Dumitru
29
2013
A new approach for solving a system of fractional partial differential equations. Zbl 1381.35221
Jafari, H.; Nazari, M.; Baleanu, D.; Khalique, C. M.
29
2013
Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations. Zbl 1183.26006
Herzallah, Mohamed A. E.; Baleanu, Dumitru
29
2009
On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative. Zbl 1170.70324
Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.
29
2008
A new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel. Zbl 1383.49030
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
28
2017
New aspects of the adaptive synchronization and hyperchaos suppression of a financial model. Zbl 1375.91249
Jajarmi, Amin; Hajipour, Mojtaba; Baleanu, Dumitru
28
2017
Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel. Zbl 1419.35208
Gómez-Aguilar, J. F.; Torres, L.; Yépez-Martínez, H.; Baleanu, D.; Reyes, J. M.; Sosa, I. O.
28
2016
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
28
2015
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
27
2017
A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
27
2017
New applications of the variational iteration method – from differential equations to \(q\)-fractional difference equations. Zbl 1365.39006
Wu, Guo-Cheng; Baleanu, Dumitru
27
2013
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
26
2016
An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems. Zbl 1423.49018
Doha, Eid; Bhrawy, Ali; Baleanu, Dumitru; Ezz-Eldien, Samer; Hafez, Ramy
26
2015
Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator. Zbl 1380.35163
Su, Wei-Hua; Yang, Xiao-Jun; Jafari, H.; Baleanu, Dumitru
26
2013
Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011
Abdeljawad, Thabet; Baleanu, Dumitru
25
2017
A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems. Zbl 1373.49029
Ezz-Eldien, S. S.; Doha, E. H.; Baleanu, D.; Bhrawy, A. H.
25
2017
Variational iteration method for fractional calculus – a universal approach by Laplace transform. Zbl 1365.34022
Wu, Guo-Cheng; Baleanu, Dumitru
25
2013
Higher order fractional variational optimal control problems with delayed arguments. Zbl 1244.49028
Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru
25
2012
New applications of fractional variational principles. Zbl 1166.58304
Baleanu, Dumitru
25
2008
On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010
Adjabi, Y.; Jarad, F.; Baleanu, D.; Abdeljawad, T.
24
2016
Fractional variational principles with delay. Zbl 1141.49321
Baleanu, Dumitru; Maaraba (Abdeljawad), Thabet; Jarad, Fahd
24
2008
Fractional Hamiltonian analysis of irregular systems. Zbl 1172.94362
Baleanu, Dumitru
24
2006
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
23
2016
Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. Zbl 1296.35154
Yang, Xiao-Jun; Baleanu, Dumitru; Machado, José António Tenreiro
23
2013
Positive solutions of an initial value problem for nonlinear fractional differential equations. Zbl 1242.35215
Baleanu, D.; Mohammadi, H.; Rezapour, Sh.
23
2012
Fractional variational principles with delay within Caputo derivatives. Zbl 1195.49030
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
23
2010
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
22
2018
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
22
2018
On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006
Jarad, F.; Abdeljawad, T.; Baleanu, D.
22
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
22
2017
Synchronization in a nonidentical fractional order of a proposed modified system. Zbl 1349.34201
Golmankhaneh, Alireza K.; Arefi, Rouhiyeh; Baleanu, Dumitru
22
2015
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
21
2018
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
21
2017
Discrete fractional diffusion equation. Zbl 1345.65067
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da; Deng, Zhen-Guo
21
2015
Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces. Zbl 1324.93020
Kerboua, Mourad; Debbouche, Amar; Baleanu, Dumitru
21
2014
Systems of Navier-Stokes equations on Cantor sets. Zbl 1299.76047
Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, J. A.
21
2013
A semigroup-like property for discrete Mittag-Leffler functions. Zbl 1292.39001
Abdeljawad, Thabet; Jarad, Fahd; Baleanu, Dumitru
21
2012
Solution of multi-dimensional Fredholm equations using Legendre scaling functions. Zbl 1443.45001
Singh, Harendra; Baleanu, D.; Srivastava, H. M.; Dutta, Hemen; Jha, Navin Kumar
3
2020
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2
2020
Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator. Zbl 1447.35084
Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru
1
2020
New estimates of \(q_1 q_2\)-Ostrowski-type inequalities within a class of \(n\)-polynomial prevexity of functions. Zbl 07247504
Kalsoom, Humaira; Idrees, Muhammad; Baleanu, Dumitru; Chu, Yu-Ming
1
2020
Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems. Zbl 1447.49033
Hung, Nguyen Van; Tam, Vo Minh; Baleanu, Dumitru
1
2020
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
1
2020
Numerical study for two types variable-order Burgers’ equations with proportional delay. Zbl 1442.65181
Sweilam, Nasser; Al-Mekhlafi, Seham; Shatta, Salma; Baleanu, Dumitru
1
2020
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
1
2020
Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. Zbl 1435.34031
Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru
1
2020
An avant-garde handling of temporal-spatial fractional physical models. Zbl 07201332
Jaradat, Imad; Alquran, Marwan; Katatbeh, Qutaibeh; Yousef, Feras; Momani, Shaher; Baleanu, Dumitru
1
2020
A novel algorithm based on the Legendre wavelets spectral technique for solving the Lane-Emden equations. Zbl 1433.65239
Karimi Dizicheh, A.; Salahshour, S.; Ahmadian, A.; Baleanu, D.
1
2020
Numerical solutions of hybrid fuzzy differential equations in a Hilbert space. Zbl 1451.65102
Gumah, G.; Naser, M. F. M.; Al-Smadi, M.; Al-Omari, S. K. Q.; Baleanu, D.
1
2020
On accurate solution of the Fredholm integral equations of the second kind. Zbl 1437.65233
Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru
1
2020
A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model. Zbl 1433.34007
Arshad, Sadia; Defterli, Ozlem; Baleanu, Dumitru
1
2020
A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra-Fredholm integral equations. Zbl 1433.65347
Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru
1
2020
Methods of mathematical modelling. Fractional differential equations. Zbl 1425.00088
Singh, Harendra (ed.); Kumar, Devendra (ed.); Baleanu, Dumitru (ed.)
1
2020
New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang
17
2019
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
12
2019
On fractional calculus with general analytic kernels. Zbl 1428.26011
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru
10
2019
Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique. Zbl 1434.39006
Wu, Guo-Cheng; Abdeljawad, Thabet; Liu, Jinliang; Baleanu, Dumitru; Wu, Kai-Teng
8
2019
Fractional impulsive differential equations: exact solutions, integral equations and short memory case. Zbl 1428.34025
Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru
8
2019
Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225
Saad, K. M.; Khader, M. M.; Gómez-Aguilar, J. F.; Baleanu, Dumitru
8
2019
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
7
2019
Generalized exponential rational function method for extended Zakharov-Kuzetsov equation with conformable derivative. Zbl 1416.35293
Ghanbari, Behzad; Osman, M. S.; Baleanu, Dumitru
7
2019
Modified Galerkin algorithm for solving multitype fractional differential equations. Zbl 1416.65375
Alsuyuti, Muhammad M.; Doha, Eid H.; Ezz-Eldien, Samer S.; Bayoumi, Bayoumi I.; Baleanu, Dumitru
7
2019
The new exact solitary wave solutions and stability analysis for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation. Zbl 07020824
Ghanbari, Behzad; Yusuf, Abdullahi; Inc, Mustafa; Baleanu, Dumitru
7
2019
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.
6
2019
A reliable technique for fractional modified Boussinesq and approximate long wave equations. Zbl 07078729
Veeresha, P.; Prakasha, D. G.; Qurashi, M. A.; Baleanu, D.
4
2019
On the local fractional wave equation in fractal strings. Zbl 1419.35226
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
4
2019
Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations. Zbl 07012073
Ali, A.; Shah, K.; Baleanu, D.
4
2019
On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 07263946
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang
3
2019
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
3
2019
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
3
2019
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
2
2019
Spatio-temporal numerical modeling of reaction-diffusion measles epidemic system. Zbl 1425.92172
Ahmed, Nauman; Wei, Zhouchao; Baleanu, Dumitru; Rafiq, M.; Rehman, M. A.
2
2019
Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations. Zbl 1437.65057
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Baleanu, Dumitru
2
2019
Stationary wave solutions for new developed two-waves’ fifth-order Korteweg-de Vries equation. Zbl 07078739
Ali, Mohammed; Alquran, Marwan; Jaradat, Imad; Baleanu, Dumitru
2
2019
Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations. Zbl 07057001
Amin, Muhammad; Abbas, Muhammad; Iqbal, Muhammad Kashif; Baleanu, Dumitru
2
2019
Analysis of differential equations involving Caputo-fabrizio fractional operator and its applications to reaction-diffusion equations. Zbl 07056996
Shaikh, Amjad; Tassaddiq, Asifa; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
2
2019
Fractal-fractional modelling of partially penetrating wells. Zbl 1448.35560
Razminia, Kambiz; Razminia, Abolhassan; Baleanu, Dumitru
1
2019
Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions. Zbl 07263902
Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M.
1
2019
A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms. Zbl 07254392
Khalid, Nauman; Abbas, Muhammad; Iqbal, Muhammad Kashif; Baleanu, Dumitru
1
2019
Extended cubic B-splines in the numerical solution of time fractional telegraph equation. Zbl 07254379
Akram, Tayyaba; Abbas, Muhammad; Ismail, Ahmad Izani; Ali, Norhashidah Hj. M.; Baleanu, Dumitru
1
2019
Some further results of the Laplace transform for variable-order fractional difference equations. Zbl 1439.65223
Baleanu, Dumitru; Wu, Guo-Cheng
1
2019
On Cauchy problem for nonlinear fractional differential equation with random discrete data. Zbl 1433.35451
Nguyen Duc Phuong; Nguyen Huy Tuan; Baleanu, Dumitru; Tran Bao Ngoc
1
2019
Fractional calculus. Selected papers from the international conference on fractional differentiation and its applications (ICFDA 2018), Amman, Jordan, July 16–18, 2018. Zbl 1444.26001
Agarwal, Praveen (ed.); Baleanu, Dumitru (ed.); Chen, YangQuan (ed.); Momani, Shaher (ed.); Tenreiro Machado, José António (ed.)
1
2019
A robust and accurate disturbance damping control design for nonlinear dynamical systems. Zbl 1425.93079
Jajarmi, Amin; Hajipour, Mojtaba; Sajjadi, Samaneh Sadat; Baleanu, Dumitru
1
2019
Fractional hybrid initial value problem featuring \(q\)-derivatives. Zbl 07111086
Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram
1
2019
Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative. Zbl 1425.34023
Salahshour, S.; Ahmadian, A.; Salimi, M.; Ferrara, M.; Baleanu, D.
1
2019
Inequalities for \(n\)-class of functions using the Saigo fractional integral operator. Zbl 1437.52005
Khan, Hasib; Tunç, Cemil; Baleanu, Dumitru; Khan, Aziz; Alkhazzan, Abdulwasea
1
2019
Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations. Zbl 07086704
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Baleanu, Dumitru
1
2019
Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation. Zbl 1421.35338
Inc, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru
1
2019
On a new modified fractional analysis of Nagumo equation. Zbl 1421.35118
Saad, Khaled M.; Deniz, Sinan; Baleanu, Dumitru
1
2019
Family of odd point non-stationary subdivision schemes and their applications. Zbl 07056989
Ghaffar, Abdul; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
1
2019
Singular conformable sequential differential equations with distributional potentials. Zbl 1411.34042
Baleanu, Dumitru; Jarad, Fahd; Uğurlu, Ekin
1
2019
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
22
2018
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
22
2018
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
21
2018
A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117
Jajarmi, Amin; Baleanu, Dumitru
20
2018
Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws. Zbl 1445.35298
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
19
2018
A new approach for the nonlinear fractional optimal control problems with external persistent disturbances. Zbl 1390.49016
Jajarmi, Amin; Hajipour, Mojtaba; Mohammadzadeh, Ehsan; Baleanu, Dumitru
19
2018
Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse. Zbl 1391.39025
Wu, Guo-Cheng; Baleanu, Dumitru; Huang, Lan-Lan
19
2018
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
18
2018
Stability analysis of impulsive fractional difference equations. Zbl 1398.39009
Wu, Guo-Cheng; Baleanu, Dumitru
18
2018
Traveling wave solutions and conservation laws for nonlinear evolution equation. Zbl 1386.37076
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
18
2018
New aspects of poor nutrition in the life cycle within the fractional calculus. Zbl 1446.92194
Baleanu, Dumitru; Jajarmi, Amin; Bonyah, Ebenezer; Hajipour, Mojtaba
17
2018
Suboptimal control of fractional-order dynamic systems with delay argument. Zbl 1400.93126
Jajarmi, Amin; Baleanu, Dumitru
17
2018
New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. Zbl 1432.35229
Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon
16
2018
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
15
2018
Numerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiability. Zbl 1387.65069
Ahmadian, Ali; Salahshour, Soheil; Chan, Chee Seng; Baleanu, Dumitru
12
2018
HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load. Zbl 1445.92266
Carvalho, Ana R. M.; Pinto, Carla M. A.; Baleanu, Dumitru
11
2018
Numerical approach of Fokker-Planck equation with Caputo-Fabrizio fractional derivative using Ritz approximation. Zbl 1393.65029
Firoozjaee, M. A.; Jafari, H.; Lia, A.; Baleanu, D.
11
2018
On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel. Zbl 1412.34012
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
10
2018
Spectral technique for solving variable-order fractional Volterra integro-differential equations. Zbl 1407.65211
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Baleanu, D.
10
2018
On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru
10
2018
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
9
2018
The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag-Leffler kernel. Zbl 1445.26003
Fernandez, Arran; Baleanu, Dumitru
9
2018
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.
8
2018
Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation. Zbl 1445.65042
Zaky, M. A.; Baleanu, D.; Alzaidy, J. F.; Hashemizadeh, E.
8
2018
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
7
2018
Caputo and related fractional derivatives in singular systems. Zbl 1427.34007
Dassios, Ioannis K.; Baleanu, Dumitru I.
7
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
7
2018
An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. Zbl 1427.65324
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
6
2018
New discretization of Caputo-Fabrizio derivative. Zbl 1425.35207
Akman, Tuğba; Yıldız, Burak; Baleanu, Dumitru
6
2018
On fractional derivatives with generalized Mittag-Leffler kernels. Zbl 1448.33019
Abdeljawad, Thabet; Baleanu, Dumitru
5
2018
Solving FDEs with Caputo-Fabrizio derivative by operational matrix based on Genocchi polynomials. Zbl 1406.34017
Roshan, Sedighe Sadeghi; Jafari, Hossein; Baleanu, Dumitru
5
2018
Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation. Zbl 1448.35019
Yusuf, Abdullahi; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru
5
2018
Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach. Zbl 1391.93113
Jajarmi, Amin; Baleanu, Dumitru
4
2018
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357
Baleanu, Dumitru; Fernandez, Arran
3
2018
Solving PDEs of fractional order using the unified transform method. Zbl 1428.35661
Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S.
3
2018
A new iterative technique for a fractional model of nonlinear Zakharov-Kuznetsov equations via Sumudu transform. Zbl 1427.65322
Prakash, Amit; Kumar, Manoj; Baleanu, Dumitru
3
2018
Symmetry analysis, explicit solutions, and conservation laws of a sixth-order nonlinear Ramani equation. Zbl 1423.35331
Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
3
2018
A spectral technique for solving two-dimensional fractional integral equations with weakly singular kernel. Zbl 1417.65222
Bhrawy, Ali H.; Abdelkawy, Mohamed A.; Baleanu, Dumitru; Amin, Ahmed Z. M.
3
2018
New dual-mode Kadomtsev-Petviashvili model with strong-weak surface tension: analysis and application. Zbl 1448.35429
Abu Irwaq, Issam; Alquran, Marwan; Jaradat, Imad; Baleanu, Dumitru
3
2018
Local existence for an impulsive fractional neutral integro-differential system with Riemann-Liouville fractional derivatives in a Banach space. Zbl 1448.34145
Kalamani, Palaniyappan; Baleanu, Dumitru; Mallika Arjunan, Mani
3
2018
Stability and existence results for a class of nonlinear fractional differential equations with singularity. Zbl 1406.34006
Alkhazzan, Abdulwasea; Jiang, Peng; Baleanu, Dumitru; Khan, Hasib; Khan, Aziz
3
2018
A reliable mixed method for singular integro-differential equations of non-integer order. Zbl 1451.65232
Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram
3
2018
On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function. Zbl 1446.35243
Agarwal, P.; Chand, M.; Baleanu, D.; O’Regan, D.; Jain, Shilpi
3
2018
Note on the solution of random differential equations via \(\psi\)-Hilfer fractional derivative. Zbl 1446.34071
Harikrishnan, S.; Shah, Kamal; Baleanu, Dumitru; Kanagarajan, K.
3
2018
On the existence of solutions of a three steps crisis integro-differential equation. Zbl 1445.45011
Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram; Shabibi, Mehdi
3
2018
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Cited by 4,447 Authors

352 Băleanu, Dumitru I.
97 Ahmad, Bashir
87 Ntouyas, Sotiris K.
68 Machado, José António Tenreiro
65 Abdeljawad, Thabet
55 Agarwal, Ravi P.
53 Al-saedi, Ahmed Eid Salem
46 Bhrawy, Ali Hassan
46 Yang, Xiao-Jun
41 Atangana, Abdon
41 Torres, Delfim Fernando Marado
38 Nieto Roig, Juan Jose
38 Tariboon, Jessada
36 Wang, Jinrong
34 Gómez-Aguilar, José Francisco
34 Jafari, Hossein
33 Wang, Guotao
32 O’Regan, Donal
30 Jarad, Fahd
27 Zhou, Yong
26 Almeida, Ricardo
26 Benchohra, Mouffak
24 Srivastava, Hari Mohan
24 Wu, Guocheng
23 Doha, Eid H.
23 Golmankhaneh, Alireza Khalili
23 Li, Changpin
23 Muslih, Sami I.
23 Rezapour, Shahram
23 Zhang, Lihong
21 Agarwal, Praveen
21 Khan, Hasib
21 Salahshour, Soheil
21 Shah, Kamal
20 Debbouche, Amar
20 Lopes, António M.
19 Ezz-Eldien, Samer S.
19 Kiliçman, Adem
19 Kumar, Devendra
19 Liu, Fawang
19 Ordokhani, Yadollah
18 Ahmadian, Ali
18 Trujillo, Juan J.
17 Khan, Aziz
17 Khan, Rahmat Ali
17 Luo, Shaokai
17 Singh, Jagdev
17 Zhang, Yi
16 Abbas, Said
16 Agrawal, Om Prakash
16 Cattani, Carlo
16 Chen, Yangquan
16 Dehghan Takht Fooladi, Mehdi
16 Inc, Mustafa
16 Zaky, Mahmoud A.
15 Abdelkawy, Mohamed A.
15 Alquran, Marwan Taiseer
15 Momani, Shaher M.
15 Sooppy Nisar, Kottakkaran
14 Ibrahim, Rabha Waell
14 Ngo Van Hoa
14 Rabei, Eqab M.
14 Zhao, Yang
13 Al-Smadi, Mohammed H.
13 Escobar-Jiménez, Ricardo Fabricio
13 Liu, Zhenhai
13 Mahmudov, Nazim Idrisoglu
13 Nguyen Huy Tuan
13 Ouannas, Adel
13 Sitthiwirattham, Thanin
13 Turner, Ian William
13 Yan, Zuomao
12 Farid, Ghulam
12 Jiang, Wei
12 Pham, Viet-Thanh
12 Saad, Khaled Mohammed
12 Sun, Hongguang
12 Zeng, Shengda
12 Zhang, Xianmin
11 Abbasbandy, Saeid
11 Daftardar-Gejji, Varsha
11 Effati, Sohrab
11 El-Nabulsi, Rami Ahmad
11 Golmankhaneh, Ali Khalili
11 Jajarmi, Amin
11 Jiang, Xiaoyun
11 Khan, Muhammad Altaf
11 Khristova, Snezhana G.
11 Malinowska, Agnieszka Barbara
11 Mobayen, Saleh
11 Owolabi, Kolade Matthew
11 Purohit, Sunil Dutt
11 Sayevand, Khosro
11 Tarasov, Vasily E.
10 Baş, Erdal
10 Chen, Wen
10 Dassios, Ioannis K.
10 Fečkan, Michal
10 Fernandez, Arran
10 Grassi, Giuseppe
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Cited in 333 Serials

399 Advances in Difference Equations
203 Abstract and Applied Analysis
181 Applied Mathematics and Computation
137 Chaos, Solitons and Fractals
123 Nonlinear Dynamics
113 Fractional Calculus & Applied Analysis
94 Computers & Mathematics with Applications
91 Journal of Computational and Applied Mathematics
87 Communications in Nonlinear Science and Numerical Simulation
78 Computational and Applied Mathematics
76 Mathematical Problems in Engineering
62 Journal of Nonlinear Science and Applications
62 International Journal of Applied and Computational Mathematics
53 Advances in Mathematical Physics
51 Boundary Value Problems
49 Chaos
45 Complexity
42 Applied Numerical Mathematics
41 Journal of Applied Mathematics and Computing
40 Discrete Dynamics in Nature and Society
38 Journal of Vibration and Control
36 Journal of Function Spaces
32 Applied Mathematical Modelling
31 Applied Mathematics Letters
30 International Journal of Theoretical Physics
29 Journal of Optimization Theory and Applications
29 Mediterranean Journal of Mathematics
28 Journal of the Franklin Institute
28 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
25 Journal of Mathematical Physics
24 Journal of Computational Physics
24 Mathematical Methods in the Applied Sciences
21 Journal of Mathematical Analysis and Applications
21 Numerical Algorithms
21 Open Mathematics
20 Journal of Inequalities and Applications
20 International Journal of Nonlinear Sciences and Numerical Simulation
20 Tbilisi Mathematical Journal
19 Fractals
19 Journal of Mathematics
18 Mathematical Modelling of Natural Phenomena
17 Mathematics and Computers in Simulation
16 International Journal of Computer Mathematics
16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
15 Acta Mechanica
15 Nonlinear Analysis. Modelling and Control
15 Discrete and Continuous Dynamical Systems. Series S
15 International Journal of Biomathematics
15 Symmetry
14 Asian Journal of Control
14 Mathematical Sciences
14 Mathematics
12 International Journal of Control
12 Fuzzy Sets and Systems
11 Reports on Mathematical Physics
11 Differential Equations and Dynamical Systems
11 Journal of Applied Mathematics
11 Journal of Fixed Point Theory and Applications
10 Turkish Journal of Mathematics
10 Journal of Function Spaces and Applications
10 Applications and Applied Mathematics
10 Journal of Applied Analysis and Computation
10 Fractional Differential Calculus
9 Applicable Analysis
9 Journal of Scientific Computing
9 Neural Networks
9 Journal of Difference Equations and Applications
9 Nonlinear Analysis. Real World Applications
9 International Journal of Differential Equations
9 S\(\vec{\text{e}}\)MA Journal
8 Physica A
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Fixed Point Theory and Applications
8 Arabian Journal of Mathematics
7 Rocky Mountain Journal of Mathematics
7 Circuits, Systems, and Signal Processing
7 Journal of Integral Equations and Applications
7 Journal of Mathematical Modeling
7 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 Physics Letters. A
6 International Journal of Mathematics and Mathematical Sciences
6 Electronic Journal of Differential Equations (EJDE)
6 International Journal of Numerical Methods for Heat & Fluid Flow
6 Journal of the Egyptian Mathematical Society
6 Engineering Analysis with Boundary Elements
6 International Journal of Computational Methods
6 Afrika Matematika
5 Modern Physics Letters A
5 International Journal of Modern Physics A
5 Automatica
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Results in Mathematics
5 SIAM Journal on Control and Optimization
5 Soft Computing
5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
5 Discrete and Continuous Dynamical Systems. Series B
5 Iranian Journal of Science and Technology. Transaction A: Science
5 Entropy
5 Journal of Mathematics and Computer Science. JMCS
...and 233 more Serials
all top 5

Cited in 53 Fields

1,661 Ordinary differential equations (34-XX)
1,064 Real functions (26-XX)
952 Partial differential equations (35-XX)
856 Numerical analysis (65-XX)
389 Systems theory; control (93-XX)
311 Operator theory (47-XX)
239 Integral equations (45-XX)
232 Calculus of variations and optimal control; optimization (49-XX)
192 Biology and other natural sciences (92-XX)
189 Difference and functional equations (39-XX)
186 Special functions (33-XX)
178 Dynamical systems and ergodic theory (37-XX)
118 Mechanics of particles and systems (70-XX)
106 Fluid mechanics (76-XX)
93 Probability theory and stochastic processes (60-XX)
72 Integral transforms, operational calculus (44-XX)
63 Approximations and expansions (41-XX)
56 Mechanics of deformable solids (74-XX)
55 Information and communication theory, circuits (94-XX)
53 Quantum theory (81-XX)
49 Statistical mechanics, structure of matter (82-XX)
46 Measure and integration (28-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
42 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34 Functional analysis (46-XX)
34 Optics, electromagnetic theory (78-XX)
32 Operations research, mathematical programming (90-XX)
29 Relativity and gravitational theory (83-XX)
28 General topology (54-XX)
24 Computer science (68-XX)
22 Global analysis, analysis on manifolds (58-XX)
19 Functions of a complex variable (30-XX)
19 Classical thermodynamics, heat transfer (80-XX)
13 Differential geometry (53-XX)
12 Geophysics (86-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Statistics (62-XX)
10 Combinatorics (05-XX)
10 Number theory (11-XX)
8 Abstract harmonic analysis (43-XX)
7 Sequences, series, summability (40-XX)
6 General and overarching topics; collections (00-XX)
6 Mathematical logic and foundations (03-XX)
6 Potential theory (31-XX)
6 Several complex variables and analytic spaces (32-XX)
5 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Convex and discrete geometry (52-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Geometry (51-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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