# zbMATH — the first resource for mathematics

## Băleanu, Dumitru I.

Compute Distance To:
 Author ID: baleanu.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

all top 5

#### 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
all top 5

#### 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)

#### 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.
2012
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
2014
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360
Baleanu, Dumitru; Muslih, Sami I.
2005
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047
Agrawal, Om. P.; Baleanu, Dumitru
2007
Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013
Debbouche, Amar; Baleanu, Dumitru
2011
On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006
Băleanu, Dumitru; Mustafa, Octavian G.
2010
The Hamilton formalism with fractional derivatives. Zbl 1104.70012
Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru
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.
2015
Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. Zbl 1149.70320
Muslih, Sami I.; Baleanu, Dumitru
2005
A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068
Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P.
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.)
2012
Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002
2012
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
2012
Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304
Baleanu, Dumitru; Agrawal, Om. P.
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.)
2010
An existence result for a superlinear fractional differential equation. Zbl 1200.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
2010
Local fractional integral transforms and their applications. Zbl 1336.44001
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
2016
Fractional Bloch equation with delay. Zbl 1217.34123
Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard
2011
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
2008
On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002
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
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
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
2016
Fractional differences and integration by parts. Zbl 1225.39008
2011
On $$L^{p}$$-solutions for a class of sequential fractional differential equations. Zbl 1235.34008
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
2011
Caputo $$q$$-fractional initial value problems and a $$q$$-analogue Mittag-Leffler function. Zbl 1231.26006
2011
Two efficient generalized Laguerre spectral algorithms for fractional initial value problems. Zbl 1291.65240
Baleanu, D.; Bhrawy, A. H.; Taha, T. M.
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.
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.
2013
New properties of conformable derivative. Zbl 1354.26008
Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed
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.
2014
Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046
Wu, Guo-Cheng; Baleanu, Dumitru
2013
Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
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.
2010
On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives. Zbl 1179.26024
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
2008
On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025
2017
Fractional optimal control problems with several state and control variables. Zbl 1269.49002
Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru
2010
On the solution set for a class of sequential fractional differential equations. Zbl 1216.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
2010
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211
2016
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
2013
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
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
2014
Stability of $$q$$-fractional non-autonomous systems. Zbl 1258.34014
2013
Nonlocal nonlinear integrodifferential equations of fractional orders. Zbl 1277.35337
Debbouche, Amar; Baleanu, Dumitru; Agarwal, Ravi P.
2012
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
2017
Generalized variational calculus in terms of multi-parameters fractional derivatives. Zbl 1236.49030
Agrawal, Om P.; Muslih, Sami I.; Baleanu, Dumitru
2011
Newtonian law with memory. Zbl 1189.70002
Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R.
2010
Fractional Hamiltonian analysis of higher order derivatives systems. Zbl 1112.81074
Baleanu, Dumitru; Muslih, Sami I.; Ta, Kenan
2006
Formulation of Hamiltonian equations for fractional variational problems. Zbl 1181.70017
Muslih, Sami I.; Baleanu, Dumitru
2005
Discrete chaos in fractional sine and standard maps. Zbl 1331.37048
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da
2014
On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031
Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
2011
Local fractional similarity solution for the diffusion equation defined on Cantor sets. Zbl 1388.35218
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
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
2013
Monotone iterative method for a class of nonlinear fractional differential equations. Zbl 1273.34021
Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong
2012
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004
Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru
2013
On a new class of fractional operators. Zbl 1422.26004
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
2017
Fractional variational optimal control problems with delayed arguments. Zbl 1209.49030
2010
Mittag-Leffler stability theorem for fractional nonlinear systems with delay. Zbl 1195.34013
2010
Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048
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
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
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
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.
2013
Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations. Zbl 1183.26006
Herzallah, Mohamed A. E.; Baleanu, Dumitru
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.
2008
A new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel. Zbl 1383.49030
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
2017
New aspects of the adaptive synchronization and hyperchaos suppression of a financial model. Zbl 1375.91249
Jajarmi, Amin; Hajipour, Mojtaba; Baleanu, Dumitru
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.
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
2015
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
2017
A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
New applications of the variational iteration method – from differential equations to $$q$$-fractional difference equations. Zbl 1365.39006
Wu, Guo-Cheng; Baleanu, Dumitru
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
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
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
2013
Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011
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.
2017
Variational iteration method for fractional calculus – a universal approach by Laplace transform. Zbl 1365.34022
Wu, Guo-Cheng; Baleanu, Dumitru
2013
Higher order fractional variational optimal control problems with delayed arguments. Zbl 1244.49028
2012
New applications of fractional variational principles. Zbl 1166.58304
Baleanu, Dumitru
2008
On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010
2016
Fractional variational principles with delay. Zbl 1141.49321
2008
Fractional Hamiltonian analysis of irregular systems. Zbl 1172.94362
Baleanu, Dumitru
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
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
2013
Positive solutions of an initial value problem for nonlinear fractional differential equations. Zbl 1242.35215
Baleanu, D.; Mohammadi, H.; Rezapour, Sh.
2012
Fractional variational principles with delay within Caputo derivatives. Zbl 1195.49030
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
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
2018
On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006
2017
Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Zbl 1412.47086
2017
Synchronization in a nonidentical fractional order of a proposed modified system. Zbl 1349.34201
Golmankhaneh, Alireza K.; Arefi, Rouhiyeh; Baleanu, Dumitru
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
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
2017
Discrete fractional diffusion equation. Zbl 1345.65067
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da; Deng, Zhen-Guo
2015
Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces. Zbl 1324.93020
Kerboua, Mourad; Debbouche, Amar; Baleanu, Dumitru
2014
Systems of Navier-Stokes equations on Cantor sets. Zbl 1299.76047
Yang, Xiao-Jun; Baleanu, Dumitru; Tenreiro Machado, J. A.
2013
A semigroup-like property for discrete Mittag-Leffler functions. Zbl 1292.39001
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
2020
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2020
Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator. Zbl 1447.35084
Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru
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
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
2020
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
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
2020
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
2020
Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. Zbl 1435.34031
Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru
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
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.
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.
2020
On accurate solution of the Fredholm integral equations of the second kind. Zbl 1437.65233
Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru
2020
A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model. Zbl 1433.34007
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
2020
Methods of mathematical modelling. Fractional differential equations. Zbl 1425.00088
Singh, Harendra (ed.); Kumar, Devendra (ed.); Baleanu, Dumitru (ed.)
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
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
2019
On fractional calculus with general analytic kernels. Zbl 1428.26011
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru
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
2019
Fractional impulsive differential equations: exact solutions, integral equations and short memory case. Zbl 1428.34025
Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru
2019
Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225
2019
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2019
Generalized exponential rational function method for extended Zakharov-Kuzetsov equation with conformable derivative. Zbl 1416.35293
Ghanbari, Behzad; Osman, M. S.; Baleanu, Dumitru
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
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
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.
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.
2019
On the local fractional wave equation in fractal strings. Zbl 1419.35226
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
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.
2019
On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 07263946
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang
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
2019
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
2019
A linearization-based approach of homotopy analysis method for non-linear time-fractional parabolic PDEs. Zbl 1444.35024
Odibat, Zaid; Baleanu, Dumitru
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.
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
2019
Stationary wave solutions for new developed two-waves’ fifth-order Korteweg-de Vries equation. Zbl 07078739
2019
Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations. Zbl 07057001
2019
Analysis of differential equations involving Caputo-fabrizio fractional operator and its applications to reaction-diffusion equations. Zbl 07056996
2019
Fractal-fractional modelling of partially penetrating wells. Zbl 1448.35560
Razminia, Kambiz; Razminia, Abolhassan; Baleanu, Dumitru
2019
Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions. Zbl 07263902
Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M.
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
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
2019
Some further results of the Laplace transform for variable-order fractional difference equations. Zbl 1439.65223
Baleanu, Dumitru; Wu, Guo-Cheng
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
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.)
2019
A robust and accurate disturbance damping control design for nonlinear dynamical systems. Zbl 1425.93079
2019
Fractional hybrid initial value problem featuring $$q$$-derivatives. Zbl 07111086
Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram
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.
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
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
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
2019
On a new modified fractional analysis of Nagumo equation. Zbl 1421.35118
Saad, Khaled M.; Deniz, Sinan; Baleanu, Dumitru
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
2019
Singular conformable sequential differential equations with distributional potentials. Zbl 1411.34042
Baleanu, Dumitru; Jarad, Fahd; Uğurlu, Ekin
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
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
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
2018
A new fractional analysis on the interaction of HIV with $$\text{CD4}^+$$ T-cells. Zbl 1404.92117
Jajarmi, Amin; Baleanu, Dumitru
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
2018
A new approach for the nonlinear fractional optimal control problems with external persistent disturbances. Zbl 1390.49016
2018
Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse. Zbl 1391.39025
Wu, Guo-Cheng; Baleanu, Dumitru; Huang, Lan-Lan
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
2018
Stability analysis of impulsive fractional difference equations. Zbl 1398.39009
Wu, Guo-Cheng; Baleanu, Dumitru
2018
Traveling wave solutions and conservation laws for nonlinear evolution equation. Zbl 1386.37076
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa
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
2018
Suboptimal control of fractional-order dynamic systems with delay argument. Zbl 1400.93126
Jajarmi, Amin; Baleanu, Dumitru
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
2018
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
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
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
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.
2018
On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel. Zbl 1412.34012
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
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.
2018
On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru
2018
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2018
The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag-Leffler kernel. Zbl 1445.26003
Fernandez, Arran; Baleanu, Dumitru
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.
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.
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
2018
Caputo and related fractional derivatives in singular systems. Zbl 1427.34007
Dassios, Ioannis K.; Baleanu, Dumitru I.
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
2018
An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. Zbl 1427.65324
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
2018
New discretization of Caputo-Fabrizio derivative. Zbl 1425.35207
Akman, Tuğba; Yıldız, Burak; Baleanu, Dumitru
2018
On fractional derivatives with generalized Mittag-Leffler kernels. Zbl 1448.33019
2018
Solving FDEs with Caputo-Fabrizio derivative by operational matrix based on Genocchi polynomials. Zbl 1406.34017
Roshan, Sedighe Sadeghi; Jafari, Hossein; Baleanu, Dumitru
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
2018
Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach. Zbl 1391.93113
Jajarmi, Amin; Baleanu, Dumitru
2018
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357
Baleanu, Dumitru; Fernandez, Arran
2018
Solving PDEs of fractional order using the unified transform method. Zbl 1428.35661
Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S.
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
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
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.
2018
New dual-mode Kadomtsev-Petviashvili model with strong-weak surface tension: analysis and application. Zbl 1448.35429
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
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
2018
A reliable mixed method for singular integro-differential equations of non-integer order. Zbl 1451.65232
Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram
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
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.
2018
On the existence of solutions of a three steps crisis integro-differential equation. Zbl 1445.45011
2018
...and 410 more Documents
all top 5

#### Cited by 4,447 Authors

 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