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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: 667 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
24 Rezapour, Shahram
23 Jarad, Fahd
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 Al Qurashi, Maysaa’ Mohamed
13 Golmankhaneh, Ali Khalili
13 Singh, Jagdev
13 Srivastava, Hari Mohan
12 Aliyu, Aliyu Isa
12 Khan, Hasib
12 Taş, Kenan
11 Ahmadian, Ali
11 Hajipour, Mojtaba
11 Purohit, Sunil Dutt
10 Arjunan, Mani Mallika
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 Fernandez, Arran
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 Hafez, Ramy Mahmoud
7 Jafarian, Ahmad
7 Khan, Aziz
7 Mohammadi, Hakimeh
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 Saad, Khaled Mohammed
5 Abbas, Muhammad
5 Allahviranloo, Tofigh
5 Arshad, Sadia
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 Salehi, Saeid
5 Shah, Kamal
5 Zhang, Lihong
5 Zhao, Yang
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, Muhammad Sarmad
4 Başkal, Sibel
4 Bhalekar, Sachin
4 Dassios, Ioannis K.
4 Delavari, Hadi
4 Deng, Zhenguo
4 Ghanbari, Behzad
4 Jaradat, Imad
4 Kadkhoda, Nematollah
4 Khalili, Yasser
4 Kumar, Sunil
4 Luo, Albert C. J.
4 Magin, Richard Lloyd
4 Mousalou, Asef
4 Nyamoradi, Nemat
...and 448 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
30 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 Mathematical Problems in Engineering
8 Czechoslovak Journal of Physics
6 Journal of Mathematical Physics
6 Reports on Mathematical Physics
6 Journal of Computational and Applied Mathematics
5 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 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică
4 Physica Scripta
4 Nonlinear Analysis. Real World Applications
4 International Journal of Biomathematics
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 Discrete Dynamics in Nature and Society
3 Mathematical Modelling of Natural Phenomena
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 International Journal of Nonlinear Sciences and Numerical Simulation
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 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Symmetry
2 Springer Proceedings in Mathematics & Statistics
2 Journal of Applied Nonlinear Dynamics
2 Discontinuity, Nonlinearity, and Complexity
2 Mathematics
2 International Journal of Applied and Computational 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 Gravitation & Cosmology
...and 19 more Serials
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Fields

263 Ordinary differential equations (34-XX)
230 Real functions (26-XX)
171 Partial differential equations (35-XX)
138 Numerical analysis (65-XX)
53 Integral equations (45-XX)
48 Operator theory (47-XX)
47 Mechanics of particles and systems (70-XX)
39 Biology and other natural sciences (92-XX)
38 Systems theory; control (93-XX)
36 Special functions (33-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
31 Difference and functional equations (39-XX)
28 Dynamical systems and ergodic theory (37-XX)
26 Quantum theory (81-XX)
24 General and overarching topics; collections (00-XX)
18 Integral transforms, operational calculus (44-XX)
17 Relativity and gravitational theory (83-XX)
16 Fluid mechanics (76-XX)
14 Differential geometry (53-XX)
14 Mechanics of deformable solids (74-XX)
13 Measure and integration (28-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Functional analysis (46-XX)
12 Optics, electromagnetic theory (78-XX)
11 Probability theory and stochastic processes (60-XX)
9 Information and communication theory, circuits (94-XX)
8 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)
5 Computer science (68-XX)
4 Functions of a complex variable (30-XX)
3 Combinatorics (05-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-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 Convex and discrete geometry (52-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

523 Publications have been cited 7,509 times in 3,702 Documents Cited by Year
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
572
2012
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
114
2014
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360
Baleanu, Dumitru; Muslih, Sami I.
100
2005
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047
Agrawal, Om. P.; Baleanu, Dumitru
99
2007
Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013
Debbouche, Amar; Baleanu, Dumitru
86
2011
On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006
Băleanu, Dumitru; Mustafa, Octavian G.
85
2010
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.
83
2015
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
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
Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
71
2012
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
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
68
2012
Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304
Baleanu, Dumitru; Agrawal, Om. P.
67
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.)
65
2010
An existence result for a superlinear fractional differential equation. Zbl 1200.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
62
2010
Local fractional integral transforms and their applications. Zbl 1336.44001
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
61
2016
Fractional Bloch equation with delay. Zbl 1217.34123
Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard
56
2011
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
55
2008
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
51
2016
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
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
50
2016
Fractional differences and integration by parts. Zbl 1225.39008
Abdeljawad, Thabet; Baleanu, Dumitru
47
2011
On \(L^{p}\)-solutions for a class of sequential fractional differential equations. Zbl 1235.34008
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
46
2011
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
45
2011
New properties of conformable derivative. Zbl 1354.26008
Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed
44
2015
Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
43
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.
43
2013
On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025
Abdeljawad, Thabet; Baleanu, Dumitru
42
2017
Two efficient generalized Laguerre spectral algorithms for fractional initial value problems. Zbl 1291.65240
Baleanu, D.; Bhrawy, A. H.; Taha, T. M.
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
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
42
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
42
2008
Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046
Wu, Guo-Cheng; Baleanu, Dumitru
41
2013
On the solution set for a class of sequential fractional differential equations. Zbl 1216.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
41
2010
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211
Abdeljawad, Thabet; Baleanu, Dumitru
40
2016
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
Fractional optimal control problems with several state and control variables. Zbl 1269.49002
Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru
40
2010
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
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
39
2013
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
39
2012
Stability of \(q\)-fractional non-autonomous systems. Zbl 1258.34014
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
38
2013
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
37
2017
Discrete chaos in fractional sine and standard maps. Zbl 1331.37048
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da
37
2014
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
Nonlocal nonlinear integrodifferential equations of fractional orders. Zbl 1277.35337
Debbouche, Amar; Baleanu, Dumitru; Agarwal, Ravi P.
37
2012
Generalized variational calculus in terms of multi-parameters fractional derivatives. Zbl 1236.49030
Agrawal, Om P.; Muslih, Sami I.; Baleanu, Dumitru
37
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
On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031
Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
35
2011
Monotone iterative method for a class of nonlinear fractional differential equations. Zbl 1273.34021
Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong
34
2012
On a new class of fractional operators. Zbl 1422.26004
Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru
33
2017
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
Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048
Abdeljawad, Thabet; Baleanu, Dumitru
32
2017
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004
Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru
32
2013
Fractional variational optimal control problems with delayed arguments. Zbl 1209.49030
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
31
2010
A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
30
2017
New aspects of the adaptive synchronization and hyperchaos suppression of a financial model. Zbl 1375.91249
Jajarmi, Amin; Hajipour, Mojtaba; Baleanu, Dumitru
30
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
30
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
30
2015
A new approach for solving a system of fractional partial differential equations. Zbl 1381.35221
Jafari, H.; Nazari, M.; Baleanu, D.; Khalique, C. M.
30
2013
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
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
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 fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
28
2017
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
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
Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011
Abdeljawad, Thabet; 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
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
27
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
27
2015
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
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.
26
2017
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
Fractional Hamiltonian analysis of irregular systems. Zbl 1172.94362
Baleanu, Dumitru
26
2006
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
25
2018
On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010
Adjabi, Y.; Jarad, F.; Baleanu, D.; Abdeljawad, T.
25
2016
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
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
24
2018
On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006
Jarad, F.; Abdeljawad, T.; Baleanu, D.
24
2017
Fractional variational principles with delay. Zbl 1141.49321
Baleanu, Dumitru; Maaraba (Abdeljawad), Thabet; Jarad, Fahd
24
2008
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
23
2018
Lyapunov functions for Riemann-Liouville-like fractional difference equations. Zbl 1426.39010
Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua
23
2017
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
New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang
22
2019
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
22
2018
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
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
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
Discrete fractional diffusion equation. Zbl 1345.65067
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da; Deng, Zhen-Guo
22
2015
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
3
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.
3
2020
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
On the determination of the impulsive Sturm-Liouville operator with the eigenparameter-dependent boundary conditions. Zbl 1452.34030
Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru
2
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
2
2020
Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. Zbl 1435.34031
Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru
2
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
2
2020
A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative. Zbl 1439.92182
Ullah, Saif; Khan, Muhammad Altaf; Farooq, Muhammad; Hammouch, Zakia; Baleanu, Dumitru
2
2020
Soft computing technique for a system of fuzzy Volterra integro-differential equations in a Hilbert space. Zbl 1441.65125
Gumah, Ghaleb; Al-Omari, Shrideh; 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
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
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
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
22
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
14
2019
On fractional calculus with general analytic kernels. Zbl 1428.26011
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru
11
2019
Fractional impulsive differential equations: exact solutions, integral equations and short memory case. Zbl 1428.34025
Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru
11
2019
Generalized exponential rational function method for extended Zakharov-Kuzetsov equation with conformable derivative. Zbl 1416.35293
Ghanbari, Behzad; Osman, M. S.; Baleanu, Dumitru
10
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
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
9
2019
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
8
2019
The new exact solitary wave solutions and stability analysis for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation. Zbl 1458.35369
Ghanbari, Behzad; Yusuf, Abdullahi; Inc, Mustafa; Baleanu, Dumitru
8
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.
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
Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations. Zbl 1458.34045
Ali, A.; Shah, K.; Baleanu, D.
7
2019
On the local fractional wave equation in fractal strings. Zbl 1419.35226
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila
5
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
4
2019
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
4
2019
A reliable technique for fractional modified Boussinesq and approximate long wave equations. Zbl 1459.35385
Veeresha, P.; Prakasha, D. G.; Qurashi, M. A.; Baleanu, D.
4
2019
Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations. Zbl 1459.35383
Shaikh, Amjad; Tassaddiq, Asifa; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
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
Some further results of the Laplace transform for variable-order fractional difference equations. Zbl 1439.65223
Baleanu, Dumitru; Wu, Guo-Cheng
3
2019
On a new modified fractional analysis of Nagumo equation. Zbl 1421.35118
Saad, Khaled M.; Deniz, Sinan; Baleanu, Dumitru
3
2019
Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations. Zbl 1459.35372
Amin, Muhammad; Abbas, Muhammad; Iqbal, Muhammad Kashif; 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
Numerical solutions of fractional delay differential equations using Chebyshev wavelet method. Zbl 1438.65143
Farooq, Umar; Khan, Hassan; Baleanu, Dumitru; Arif, Muhammad
2
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
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 1459.35329
Ali, Mohammed; Alquran, Marwan; Jaradat, Imad; Baleanu, Dumitru
2
2019
On a three step crisis integro-differential equation. Zbl 1459.45005
Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram
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 1459.65198
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 1459.65193
Akram, Tayyaba; Abbas, Muhammad; Ismail, Ahmad Izani; Ali, Norhashidah Hj. M.; Baleanu, Dumitru
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
New exact solutions of the generalized Benjamin-Bona-Mahony equation. Zbl 1423.35340
Ghanbari, Behzad; Baleanu, Dumitru; Al Qurashi, Maysaa
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
Computable solution of fractional kinetic equations using Mathieu-type series. Zbl 1459.35379
Khan, Owais; Khan, Nabiullah; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy
1
2019
Ternary-fractional differential transform schema: theory and application. Zbl 1459.35387
Yousef, Feras; Alquran, Marwan; Jaradat, Imad; Momani, Shaher; Baleanu, Dumitru
1
2019
Family of odd point non-stationary subdivision schemes and their applications. Zbl 1459.65027
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 collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
25
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
24
2018
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
23
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
22
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
20
2018
A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117
Jajarmi, Amin; Baleanu, Dumitru
20
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
20
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
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
17
2018
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
16
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
12
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.
12
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
On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel. Zbl 1412.34012
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
11
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.
11
2018
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
10
2018
On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru
10
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.
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
Caputo and related fractional derivatives in singular systems. Zbl 1427.34007
Dassios, Ioannis K.; Baleanu, Dumitru I.
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
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
Solving FDEs with Caputo-Fabrizio derivative by operational matrix based on Genocchi polynomials. Zbl 1406.34017
Roshan, Sedighe Sadeghi; Jafari, Hossein; Baleanu, Dumitru
6
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
6
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.
6
2018
New discretization of Caputo-Fabrizio derivative. Zbl 1425.35207
Akman, Tuğba; Yıldız, Burak; Baleanu, Dumitru
6
2018
Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach. Zbl 1391.93113
Jajarmi, Amin; Baleanu, Dumitru
6
2018
On fractional derivatives with generalized Mittag-Leffler kernels. Zbl 1448.33019
Abdeljawad, Thabet; Baleanu, Dumitru
5
2018
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357
Baleanu, Dumitru; Fernandez, Arran
4
2018
Comparative simulations for solutions of fractional Sturm-Liouville problems with non-singular operators. Zbl 1448.34063
Bas, Erdal; Ozarslan, Ramazan; Baleanu, Dumitru; Ercan, Ahu
4
2018
Efficient numerical treatments for a fractional optimal control nonlinear tuberculosis model. Zbl 1407.65226
Sweilam, N. H.; Al-Mekhlafi, S. M.; Baleanu, D.
4
2018
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Cited by 4,623 Authors

356 Băleanu, Dumitru I.
98 Ahmad, Bashir
87 Ntouyas, Sotiris K.
72 Abdeljawad, Thabet
68 Machado, José António Tenreiro
56 Agarwal, Ravi P.
54 Al-saedi, Ahmed Eid Salem
47 Yang, Xiao-Jun
46 Bhrawy, Ali Hassan
41 Atangana, Abdon
41 Torres, Delfim Fernando Marado
39 Nieto Roig, Juan Jose
38 Tariboon, Jessada
36 Wang, Jinrong
35 Jafari, Hossein
35 Wang, Guotao
34 Gómez-Aguilar, José Francisco
33 Jarad, Fahd
32 O’Regan, Donal
28 Benchohra, Mouffak
27 Rezapour, Shahram
26 Almeida, Ricardo
26 Zhou, Yong
24 Doha, Eid H.
24 Li, Changpin
24 Shah, Kamal
24 Srivastava, Hari Mohan
24 Wu, Guocheng
24 Zhang, Lihong
23 Golmankhaneh, Alireza Khalili
23 Muslih, Sami I.
22 Salahshour, Soheil
21 Agarwal, Praveen
21 Khan, Hasib
21 Liu, Fawang
20 Debbouche, Amar
20 Lopes, António M.
19 Ahmadian, Ali
19 Ezz-Eldien, Samer S.
19 Kiliçman, Adem
19 Kumar, Devendra
19 Ordokhani, Yadollah
18 Abbas, Said
18 Chen, Yangquan
18 Inc, Mustafa
18 Trujillo, Juan J.
18 Zhang, Yi
17 Dehghan Takht Fooladi, Mehdi
17 Farid, Ghulam
17 Khan, Aziz
17 Khan, Rahmat Ali
17 Luo, Shaokai
17 Singh, Jagdev
17 Zaky, Mahmoud A.
16 Abdelkawy, Mohamed A.
16 Agrawal, Om Prakash
16 Alquran, Marwan Taiseer
16 Cattani, Carlo
16 Ibrahim, Rabha Waell
16 Sooppy Nisar, Kottakkaran
15 Momani, Shaher M.
14 Ngo Van Hoa
14 Ouannas, Adel
14 Purohit, Sunil Dutt
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 Pham, Viet-Thanh
13 Sitthiwirattham, Thanin
13 Turner, Ian William
13 Yan, Zuomao
13 Zeng, Shengda
12 Golmankhaneh, Ali Khalili
12 Jiang, Wei
12 Jiang, Xiaoyun
12 Saad, Khaled Mohammed
12 Sun, Hongguang
12 Zhang, Xianmin
11 Abbasbandy, Saeid
11 Baş, Erdal
11 Daftardar-Gejji, Varsha
11 Effati, Sohrab
11 El-Nabulsi, Rami Ahmad
11 Fernandez, Arran
11 Goodrich, Christopher S.
11 Grassi, Giuseppe
11 Jajarmi, Amin
11 Khan, Muhammad Altaf
11 Khennaoui, Amina-Aicha
11 Khristova, Snezhana G.
11 Liu, Lishan
11 Malinowska, Agnieszka Barbara
11 Mobayen, Saleh
11 Owolabi, Kolade Matthew
11 Pandey, Dwijendra Narain
11 Rahman, Gauhar
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Cited in 338 Serials

399 Advances in Difference Equations
203 Abstract and Applied Analysis
185 Applied Mathematics and Computation
137 Chaos, Solitons and Fractals
124 Nonlinear Dynamics
117 Fractional Calculus & Applied Analysis
95 Computers & Mathematics with Applications
94 Mathematical Problems in Engineering
93 Journal of Computational and Applied Mathematics
91 Communications in Nonlinear Science and Numerical Simulation
82 Computational and Applied Mathematics
73 International Journal of Applied and Computational Mathematics
62 Journal of Nonlinear Science and Applications
53 Advances in Mathematical Physics
51 Boundary Value Problems
50 Chaos
48 Discrete Dynamics in Nature and Society
45 Applied Numerical Mathematics
45 Complexity
41 Journal of Applied Mathematics and Computing
40 Journal of Function Spaces
38 Journal of Vibration and Control
34 Applied Mathematics Letters
32 Applied Mathematical Modelling
31 Mediterranean Journal of Mathematics
30 International Journal of Theoretical Physics
30 Journal of the Franklin Institute
30 Journal of Optimization Theory and Applications
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
24 International Journal of Nonlinear Sciences and Numerical Simulation
22 Numerical Algorithms
21 Journal of Mathematical Analysis and Applications
21 Open Mathematics
20 Journal of Inequalities and Applications
20 Tbilisi Mathematical Journal
19 Fractals
19 Journal of Mathematics
18 Nonlinear Analysis. Modelling and Control
18 Mathematical Modelling of Natural Phenomena
17 Mathematics and Computers in Simulation
16 International Journal of Computer Mathematics
16 International Journal of Biomathematics
16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
15 Acta Mechanica
15 Discrete and Continuous Dynamical Systems. Series S
15 International Journal of Differential Equations
15 Symmetry
15 Journal of Applied Analysis and Computation
14 Asian Journal of Control
14 Mathematical Sciences
14 Mathematics
12 International Journal of Control
12 Fuzzy Sets and Systems
12 Differential Equations and Dynamical Systems
11 Reports on Mathematical Physics
11 Journal of Applied Mathematics
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Journal of Fixed Point Theory and Applications
10 Turkish Journal of Mathematics
10 Journal of Difference Equations and Applications
10 Journal of Function Spaces and Applications
10 Applications and Applied Mathematics
10 Fractional Differential Calculus
9 Applicable Analysis
9 Journal of Scientific Computing
9 Neural Networks
9 Nonlinear Analysis. Real World Applications
9 S\(\vec{\text{e}}\)MA Journal
8 Physica A
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 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
7 Journal of Mathematical Modeling
7 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 Modern Physics Letters A
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 Boletim da Sociedade Paranaense de Matemática. Terceira Série
6 International Journal of Computational Methods
6 Asian-European Journal of Mathematics
6 Afrika Matematika
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 Acta Applicandae Mathematicae
5 Optimization
5 Soft Computing
5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
...and 238 more Serials
all top 5

Cited in 53 Fields

1,707 Ordinary differential equations (34-XX)
1,132 Real functions (26-XX)
1,009 Partial differential equations (35-XX)
898 Numerical analysis (65-XX)
400 Systems theory; control (93-XX)
330 Operator theory (47-XX)
251 Integral equations (45-XX)
241 Calculus of variations and optimal control; optimization (49-XX)
203 Biology and other natural sciences (92-XX)
199 Special functions (33-XX)
184 Dynamical systems and ergodic theory (37-XX)
181 Difference and functional equations (39-XX)
117 Mechanics of particles and systems (70-XX)
114 Fluid mechanics (76-XX)
99 Probability theory and stochastic processes (60-XX)
78 Integral transforms, operational calculus (44-XX)
63 Approximations and expansions (41-XX)
59 Mechanics of deformable solids (74-XX)
56 Quantum theory (81-XX)
55 Information and communication theory, circuits (94-XX)
50 Statistical mechanics, structure of matter (82-XX)
47 Measure and integration (28-XX)
47 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
43 Harmonic analysis on Euclidean spaces (42-XX)
34 Functional analysis (46-XX)
34 Optics, electromagnetic theory (78-XX)
30 Operations research, mathematical programming (90-XX)
29 Relativity and gravitational theory (83-XX)
28 General topology (54-XX)
26 Computer science (68-XX)
22 Global analysis, analysis on manifolds (58-XX)
20 Functions of a complex variable (30-XX)
20 Classical thermodynamics, heat transfer (80-XX)
13 Differential geometry (53-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Geophysics (86-XX)
11 Combinatorics (05-XX)
11 Statistics (62-XX)
10 Number theory (11-XX)
8 General and overarching topics; collections (00-XX)
8 Abstract harmonic analysis (43-XX)
7 Sequences, series, summability (40-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)
3 Mathematical logic and foundations (03-XX)
3 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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