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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, Dumitru; Baleanu, D.; Băleanu, Dumitru; Băleanu, D.; Baleanu, Dumitru I.; Băleanu, Dumitru I.; Baleanu, Dimitru; Bǎleanu, D.
Homepage: http://www.intechopen.com/profiles/105623/Dumitru-Baleanu
External Links: arXiv · Google Scholar · ResearchGate · dblp · GND
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Co-Authors

18 single-authored
38 Rezapour, Shahram
34 Abdeljawad, Thabet
34 Inc, Mustafa
34 Wu, Guocheng
29 Jafari, Hossein
29 Muslih, Sami I.
28 Yang, Xiao-Jun
26 Machado, José António Tenreiro
25 Jarad, Fahd
25 Sooppy Nisar, Kottakkaran
24 Bhrawy, Ali Hassan
24 Golmankhaneh, Alireza Khalili
22 Yusuf, Abdullahi A.
20 Salahshour, Soheil
19 Singh, Jagdev
18 Agarwal, Ravi P.
18 Jajarmi, Amin
18 Kumar, Devendra
17 Aliyu, Aliyu Isa
17 Doha, Eid H.
17 Rabei, Eqab M.
15 Mustafa, Octavian G.
15 Srivastava, Hari Mohan
14 Mohammadi, Hakimeh
14 Purohit, Sunil Dutt
13 Ahmadian, Ali
13 Arjunan, Mani Mallika
13 Golmankhaneh, Ali Khalili
13 Hajipour, Mojtaba
13 Rafiq, Muhammad H.
12 Chu, Yuming
12 Khan, Hasib
12 Taş, Kenan
11 Agarwal, Praveen
11 Akgül, Ali
11 Fernandez, Arran
10 Alshomrani, Ali Saleh
10 Gómez-Aguilar, José Francisco
10 Nguyen Huy Tuan
10 O’Regan, Donal
10 Suganya, Selvaraj
9 Ahmed, Nauman
9 Can, Nguyen Huu
9 Etemad, Sina
9 Ezz-Eldien, Samer S.
9 Ghaffar, Abdul
9 Hammouch, Zakia
9 Herzallah, Mohamed A. E.
9 Khan, Hassan Ali
9 Khan, Rahmat Ali
9 Rashid, Saima
9 Wang, Guotao
9 Zeng, Shengda
8 Al-Omari, Shrideh Khalaf Qasem
8 Alipour, Mohsen
8 Güler, Yurdahan
8 Kadem, Abdelouahab
8 Khan, Aziz
8 Rehman, Muhammad Aziz-Ur
8 Ugurlu, Ekin
7 Abbas, Muhammad
7 Agrawal, Om Prakash
7 Atangana, Abdon
7 Defterli, Ozlem
7 Dinç, Erdal
7 Hafez, Ramy Mahmoud
7 Jafarian, Ahmad
7 Kumar, Sunil
7 Long, Le Dinh
7 Luc, Nguyen Hoang
7 Momani, Shaher M.
7 Nigmatullin, Raoul R.
7 Shah, Kamal
7 Shiri, Babak
7 Sweilam, Nasser Hassan
7 Trujillo, Juan J.
6 Abdelkawy, Mohamed A.
6 Agheli, Bahram
6 Al-Mekhlafi, Seham Mahyoub
6 Al Qurashi, Maysaa’ Mohamed
6 Babakhani, Azizollah
6 Cattani, Carlo
6 Darzi, Rahmat
6 Dassios, Ioannis K.
6 Debbouche, Amar
6 Jaradat, Imad
6 Karaca, Yeliz
6 Mustafa, Ghulam
6 Saad, Khaled Mohammed
6 Saker, Samir H.
6 Shah, Rasool
6 Zhang, Lihong
5 Allahviranloo, Tofigh
5 Alquran, Marwan Taiseer
5 Alzabut, Jehad O.
5 Arshad, Sadia
5 Baleanu, Mihaela Cristina
5 Daftardar-Gejji, Varsha
5 Ghanbari, Behzad
5 Hashemi, Mir Sajjad
...and 713 more Co-Authors
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Serials

168 Advances in Difference Equations
56 Abstract and Applied Analysis
47 Mathematical Methods in the Applied Sciences
37 Chaos, Solitons and Fractals
31 AIMS Mathematics
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
18 Fractals
17 Journal of Inequalities and Applications
16 Journal of Vibration and Control
15 International Journal of Theoretical Physics
15 Applied Numerical Mathematics
15 Chaos
14 Computers & Mathematics with Applications
14 Boundary Value Problems
13 Physica A
13 Fractional Calculus & Applied Analysis
11 Czechoslovak Journal of Physics
10 Journal of Computational Analysis and Applications
10 Advances in Mathematical Physics
8 Mathematical Problems in Engineering
6 Journal of Mathematical Physics
6 Reports on Mathematical Physics
6 Journal of Computational and Applied Mathematics
6 Computational and Applied Mathematics
6 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
6 Nonlinear Analysis. Modelling and Control
5 Mathematical Biosciences and Engineering
5 Journal of Physics A: Mathematical and Theoretical
5 Mathematical Modelling of Natural Phenomena
5 Discrete and Continuous Dynamical Systems. Series S
5 Nonlinear Systems and Complexity
5 International Journal of Applied and Computational Mathematics
5 Open Mathematics
4 Modern Physics Letters A
4 Helvetica Physica Acta
4 Applied Mathematical Modelling
4 Physica Scripta
4 Nonlinear Analysis. Real World Applications
4 International Journal of Biomathematics
3 International Journal of Modern Physics A
3 Journal of Computational Physics
3 Physics Letters. A
3 Journal of Optimization Theory and Applications
3 Mathematics and Computers in Simulation
3 Applied Mathematics Letters
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Filomat
3 Complexity
3 Discrete Dynamics in Nature and Society
3 Journal of Applied Mathematics and Computing
3 Hacettepe Journal of Mathematics and Statistics
3 Miskolc Mathematical Notes
3 Series on Complexity, Nonlinearity, and Chaos
3 Journal of Mathematics
3 Journal of Function Spaces
2 Journal of Mathematical Analysis and Applications
2 Fuzzy Sets and Systems
2 Optimal Control Applications & Methods
2 Signal Processing
2 International Journal of Computer Mathematics
2 Turkish Journal of Mathematics
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 Waves in Random and Complex Media
2 Journal of Mathematical Inequalities
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 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 Journal of Geometry and Physics
1 Collectanea Mathematica
1 Quaestiones Mathematicae
1 Bulletin of the Korean Mathematical Society
1 Note di Matematica
1 Facta Universitatis. Series Mathematics and Informatics
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
...and 36 more Serials
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Fields

350 Ordinary differential equations (34-XX)
334 Real functions (26-XX)
240 Partial differential equations (35-XX)
199 Numerical analysis (65-XX)
74 Operator theory (47-XX)
72 Biology and other natural sciences (92-XX)
64 Integral equations (45-XX)
51 Mechanics of particles and systems (70-XX)
48 Systems theory; control (93-XX)
44 Special functions (33-XX)
41 Dynamical systems and ergodic theory (37-XX)
39 Difference and functional equations (39-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
30 Quantum theory (81-XX)
26 General and overarching topics; collections (00-XX)
23 Integral transforms, operational calculus (44-XX)
22 Mechanics of deformable solids (74-XX)
22 Fluid mechanics (76-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Measure and integration (28-XX)
18 Relativity and gravitational theory (83-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
17 Differential geometry (53-XX)
15 Functional analysis (46-XX)
15 Probability theory and stochastic processes (60-XX)
13 Optics, electromagnetic theory (78-XX)
12 Approximations and expansions (41-XX)
11 Information and communication theory, circuits (94-XX)
10 General topology (54-XX)
9 Functions of a complex variable (30-XX)
9 Computer science (68-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Operations research, mathematical programming (90-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Combinatorics (05-XX)
6 Statistics (62-XX)
4 Number theory (11-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Mathematical logic and foundations (03-XX)
2 Potential theory (31-XX)
2 Sequences, series, summability (40-XX)
2 Convex and discrete geometry (52-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)

Publications by Year

Citations contained in zbMATH Open

676 Publications have been cited 11,676 times in 5,667 Documents Cited by Year
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
654
2012
Discrete fractional logistic map and its chaos. Zbl 1281.34121
Wu, Guo-Cheng; Baleanu, Dumitru
158
2014
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
134
2018
Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
125
2012
Some existence results on nonlinear fractional differential equations. Zbl 1342.34009
Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh
115
2013
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047
Agrawal, Om. P.; Baleanu, Dumitru
112
2007
Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013
Debbouche, Amar; Baleanu, Dumitru
104
2011
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. Zbl 1349.65504
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Ezz-Eldien, S. S.
103
2015
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.
102
2019
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360
Baleanu, Dumitru; Muslih, Sami I.
101
2005
On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006
Băleanu, Dumitru; Mustafa, Octavian G.
96
2010
Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081
Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil
92
2012
New trends in nanotechnology and fractional calculus applications. Selected papers based on the presentations at the workshop new trends in science and technology (NTST 08), and the workshop fractional differentiation and its applications (FDA 09), Ankara, Türkei, November 2008. Zbl 1196.65021
90
2010
On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025
Abdeljawad, Thabet; Baleanu, Dumitru
90
2017
New properties of conformable derivative. Zbl 1354.26008
Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed
88
2015
The Hamilton formalism with fractional derivatives. Zbl 1104.70012
Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru
84
2007
Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. Zbl 1149.70320
Muslih, Sami I.; Baleanu, Dumitru
82
2005
On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations. Zbl 1377.45004
Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
81
2017
A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068
Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P.
81
2009
On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002
Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet
80
2014
On a new class of fractional operators. Zbl 1422.26004
Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru
77
2017
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
77
2012
Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304
Baleanu, Dumitru; Agrawal, Om. P.
74
2006
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211
Abdeljawad, Thabet; Baleanu, Dumitru
71
2016
Local fractional integral transforms and their applications. Zbl 1336.44001
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
70
2016
An existence result for a superlinear fractional differential equation. Zbl 1200.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
69
2010
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
67
2017
On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019
Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram
66
2017
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
63
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
63
2016
Fractional differences and integration by parts. Zbl 1225.39008
Abdeljawad, Thabet; Baleanu, Dumitru
63
2011
On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006
Jarad, F.; Abdeljawad, T.; Baleanu, D.
61
2017
Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Zbl 1412.47086
Abdeljawad, Thabet; Baleanu, Dumitru
60
2017
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
59
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
59
2008
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
59
2019
Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006
Abdeljawad, Thabet; Baleanu, Dumitru
58
2011
Fractional Bloch equation with delay. Zbl 1217.34123
Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard
58
2011
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
56
2018
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
56
2012
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
56
2013
On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328
Baleanu, Dumitru; Trujillo, Juan J.
56
2008
New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang
55
2019
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
55
2016
Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048
Abdeljawad, Thabet; Baleanu, Dumitru
54
2017
On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010
Adjabi, Y.; Jarad, F.; Baleanu, D.; Abdeljawad, T.
53
2016
Stability of \(q\)-fractional non-autonomous systems. Zbl 1258.34014
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
53
2013
A new fractional model for giving up smoking dynamics. Zbl 1422.34062
Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru
51
2017
A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117
Jajarmi, Amin; Baleanu, Dumitru
50
2018
Fractional optimal control problems with several state and control variables. Zbl 1269.49002
Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru
50
2010
Two fractional derivative inclusion problems via integral boundary condition. Zbl 1338.34048
Agarwal, Ravi P.; Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram
48
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.
48
2013
LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121
Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru
48
2013
On \(L^{p}\)-solutions for a class of sequential fractional differential equations. Zbl 1235.34008
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
47
2011
Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046
Wu, Guo-Cheng; Baleanu, Dumitru
47
2013
On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025
Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen
47
2015
On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru
46
2018
On the solution set for a class of sequential fractional differential equations. Zbl 1216.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
46
2010
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
46
2018
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
46
2017
On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031
Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru
46
2011
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
46
2008
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
46
2019
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.
46
2013
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.
46
2014
Two efficient generalized Laguerre spectral algorithms for fractional initial value problems. Zbl 1291.65240
Baleanu, D.; Bhrawy, A. H.; Taha, T. M.
45
2013
Discrete chaos in fractional sine and standard maps. Zbl 1331.37048
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da
45
2014
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.
45
2013
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
44
2019
Lyapunov functions for Riemann-Liouville-like fractional difference equations. Zbl 1426.39010
Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua
44
2017
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
44
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.
43
2018
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
43
2017
A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008
Baleanu, Dumitru; Trujillo, Juan I.
43
2010
The extended Mittag-Leffler function via fractional calculus. Zbl 1412.33039
Rahman, Gauhar; Baleanu, Dumitru; Al Qurashi, Maysaa; Purohit, Sunil Dutt; Mubeen, Shahid; Arshad, Muhammad
43
2017
Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. Zbl 1374.34306
Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da
42
2017
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
42
2018
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
42
2020
Generalized variational calculus in terms of multi-parameters fractional derivatives. Zbl 1236.49030
Agrawal, Om P.; Muslih, Sami I.; Baleanu, Dumitru
41
2011
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
41
2015
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
41
2014
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
39
2016
A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
39
2018
Monotone iterative method for a class of nonlinear fractional differential equations. Zbl 1273.34021
Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong
39
2012
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004
Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru
38
2013
Local fractional similarity solution for the diffusion equation defined on Cantor sets. Zbl 1388.35218
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
38
2015
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
38
2020
On fractional calculus with general analytic kernels. Zbl 1428.26011
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru
38
2019
Newtonian law with memory. Zbl 1189.70002
Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R.
37
2010
New aspects of the adaptive synchronization and hyperchaos suppression of a financial model. Zbl 1375.91249
Jajarmi, Amin; Hajipour, Mojtaba; Baleanu, Dumitru
37
2017
Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011
Abdeljawad, Thabet; Baleanu, Dumitru
37
2017
On a three step crisis integro-differential equation. Zbl 1459.45005
Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram
37
2019
On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
36
2018
Fractional variational optimal control problems with delayed arguments. Zbl 1209.49030
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru
36
2010
Nonlocal nonlinear integrodifferential equations of fractional orders. Zbl 1277.35337
Debbouche, Amar; Baleanu, Dumitru; Agarwal, Ravi P.
36
2012
On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357
Baleanu, Dumitru; Fernandez, Arran
36
2018
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)
35
2010
A new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel. Zbl 1383.49030
Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba
35
2017
Formulation of Hamiltonian equations for fractional variational problems. Zbl 1181.70017
Muslih, Sami I.; Baleanu, Dumitru
35
2005
New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. (New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger’s equations.) Zbl 1432.35229
Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon
34
2018
Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics. Zbl 1475.74008
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M.
3
2022
Lucas wavelet scheme for fractional Bagley-Torvik equations: Gauss-Jacobi approach. Zbl 1485.65089
Koundal, Reena; Kumar, Rakesh; Srivastava, K.; Baleanu, D.
1
2022
A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114
Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru
15
2021
Discrete fractional calculus for interval-valued systems. Zbl 1464.39007
Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong
12
2021
On quantum hybrid fractional conformable differential and integral operators in a complex domain. Zbl 1468.30041
Ibrahim, Rabha W.; Baleanu, Dumitru
8
2021
An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law. Zbl 1471.35301
Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Baleanu, Dumitru
7
2021
SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels. Zbl 07318269
Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru
6
2021
Classes of operators in fractional calculus: a case study. Zbl 07377140
Fernandez, Arran; Baleanu, Dumitru
5
2021
An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense. Zbl 07428957
Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; Salahshour, Soheil
4
2021
Fractional Mayer neuro-swarm heuristic solver for multi-fractional order doubly singular model based on Lane-Emden equation. Zbl 1481.65104
Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru
4
2021
Computational and numerical simulations for the deoxyribonucleic acid (DNA) model. Zbl 1471.92238
Attia, Raghda A. M.; Baleanu, Dumitru; Lu, Dianchen; Khater, Mostafa M. A.; Ahmed, El-Sayed
3
2021
Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
3
2021
New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
3
2021
Analysis of the fractional corona virus pandemic via deterministic modeling. Zbl 1472.34097
Tuan, Nguyen Huy; Tri, Vo Viet; Baleanu, Dumitru
3
2021
Henry-Gronwall type \(q\)-fractional integral inequalities. Zbl 1470.39018
Ben Makhlouf, Abdellatif; Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru
3
2021
Pattern formation in superdiffusion predator-prey-like problems with integer- and noninteger-order derivatives. Zbl 1475.35360
Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru
3
2021
Some exact solutions of a variable coefficients fractional biological population model. Zbl 1475.35345
Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru
3
2021
On the approximate solutions for a system of coupled Korteweg-de Vries equations with local fractional derivative. Zbl 07465612
Jafari, Hossein; Jassim, Hassan Kamil; Baleanu, Dumitru; Chu, Yu-Ming
3
2021
Achieving more precise bounds based on double and triple integral as proposed by generalized proportional fractional operators in the Hilfer sense. Zbl 1481.26004
Al-Qurashi, Maysaa; Rashid, Saima; Karaca, Yeliz; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming
3
2021
Approximation of fixed point and its application to fractional differential equation. Zbl 1475.54030
Khatoon, Sabiya; Uddin, Izhar; Baleanu, Dumitru
2
2021
Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme. Zbl 1475.65062
Aghdam, Yones Esmaeelzade; Safdari, Hamid; Azari, Yaqub; Jafari, Hossein; Baleanu, Dumitru
2
2021
A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244
Baleanu, Dumitru; Etemad, Sina; Mohammadi, Hakimeh; Rezapour, Shahram
2
2021
Collision phenomena among lump, periodic and soliton solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton model. Zbl 07409584
Ullah, Mohammad Safi; Zulfikar Ali, M.; Roshid, Harun-Or; Seadawy, A. R.; Baleanu, Dumitru
2
2021
Optimal solutions for singular linear systems of Caputo fractional differential equations. Zbl 1478.34007
Dassios, Ioannis; Baleanu, Dumitru
2
2021
The stability of the fractional Volterra integro-differential equation by means of \(\Psi \)-Hilfer operator revisited. Zbl 1475.45019
Baleanu, Dumitru; Saadati, Reza; Sousa, José
2
2021
A class of time-fractional Dirac type operators. Zbl 07512485
Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan
2
2021
An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations. Zbl 07526142
Ali, Ihteram; Haq, Sirajul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
2
2021
Analysis of time-fractional dynamical model of romantic and interpersonal relationships with non-singular kernels: a comparative study. Zbl 1470.91210
Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Jena, Subrat Kumar
2
2021
Criteria for existence of solutions for a Liouville-Caputo boundary value problem via generalized Gronwall’s inequality. Zbl 07465015
Mohammadi, Hakimeh; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
2
2021
New multi-functional approach for \(\kappa\)th-order differentiability governed by fractional calculus via approximately generalized \((\psi, \hbar)\)-convex functions in Hilbert space. Zbl 07465619
Wang, Miao-Kun; Rashid, Saima; Karaca, Yeliz; Baleanu, Dumitru; Chu, Yu-Ming
2
2021
Corrigendum to: “Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X = Mo, Cu)) based on ternary alloys”. Zbl 07482519
Lu, D.; Osman, M. S.; Khater, M. M. A.; Attia, R. A. M.; Baleanu, D.
1
2021
On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048
Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V.
1
2021
Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative. Zbl 1485.92108
Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru
1
2021
A novel collocated-shifted Lucas polynomial approach for fractional integro-differential equations. Zbl 1485.65132
Koundal, Reena; Kumar, Rakesh; Kumar, Ravinder; Srivastava, K.; Baleanu, D.
1
2021
A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates. Zbl 1476.26015
Baleanu, Dumitru; Krnić, Mario; Vukovic, Predrag
1
2021
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation. Zbl 07512474
Jhangeer, Adil; Hussain, Amjad; Junaid-U-Rehman, M.; Baleanu, Dumitru; Riaz, Muhammad Bilal
1
2021
New iterative approach for the solutions of fractional order inhomogeneous partial differential equations. Zbl 1484.65285
Zada, Laiq; Nawaz, Rashid; Ahsan, Sumbal; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru
1
2021
A hybrid stochastic fractional order coronavirus (2019-nCov) mathematical model. Zbl 07514613
Sweilam, N. H.; AL-Mekhlafi, S. M.; Baleanu, D.
1
2021
Some new dynamic inequalities with several functions of Hardy type on time scales. Zbl 07464982
Hamiaz, Adnane; Abuelela, Waleed; Saker, Samir H.; Baleanu, Dumitru
1
2021
A fractal fractional model for cervical cancer due to human papillomavirus infection. Zbl 07465615
Akgül, A.; Ahmed, N.; Raza, A.; Iqbal, Z.; Rafiq, M.; Rehman, M. A.; Baleanu, D.
1
2021
Design of neuro-swarming heuristic solver for multi-pantograph singular delay differential equation. Zbl 1481.65098
Sabir, Zulqurnain; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Guirao, Juan L. G.
1
2021
A new fractional SICA model and numerical method for the transmission of HIV/AIDS. Zbl 1470.92357
Ullah, Malik Zaka; Baleanu, Dumitru
1
2021
Recovering the source term for parabolic equation with nonlocal integral condition. Zbl 1470.35437
Phuong, Nguyen Duc; Baleanu, Dumitru; Phong, Tran Thanh; Long, Le Dinh
1
2021
Conformable differential operators for meromorphically multivalent functions. Zbl 07427887
Ibrahim, Rabha W.; Baleanu, Dumitru; Jahangiri, Jay M.
1
2021
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
42
2020
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
38
2020
New aspects of time fractional optimal control problems within operators with nonsingular kernel. Zbl 1439.49010
Yıldız, Tuğba Akman; Jajarmi, Amin; Yıldız, Burak; Baleanu, Dumitru
29
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
25
2020
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. Zbl 1453.65160
Odibat, Zaid; Baleanu, Dumitru
19
2020
Collocation methods for terminal value problems of tempered fractional differential equations. Zbl 1455.65238
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru
18
2020
A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative. Zbl 1483.92041
Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, Hakimeh; Rezapour, Shahram
17
2020
Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. Zbl 1482.37090
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
11
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
11
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.
10
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.
9
2020
On a terminal value problem for a generalization of the fractional diffusion equation with hyper-Bessel operator. Zbl 1447.35390
Tuan, Nguyen Huy; Huynh, Le Nhat; Baleanu, Dumitru; Can, Nguyen Huu
9
2020
Analytical and numerical solutions of mathematical biology models: the Newell-Whitehead-Segel and Allen-Cahn equations. Zbl 1454.35397
Inan, Bilge; Osman, Mohamed S.; Ak, Turgut; Baleanu, Dumitru
9
2020
Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data. Zbl 1436.35327
Tuan, Nguyen Huy; Baleanu, Dumitru; Thach, Tran Ngoc; O&rsquo;Regan, Donal; Can, Nguyen Huu
8
2020
Lie symmetry analysis of fractional differential equations. Zbl 1436.35001
Hashemi, Mir Sajjad; Baleanu, Dumitru
8
2020
Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator. Zbl 1454.35143
Wang, Guotao; Yang, Zedong; Zhang, Lihong; Baleanu, Dumitru
8
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
7
2020
On a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary conditions. Zbl 1482.34016
Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
6
2020
Comments on: “The failure of certain fractional calculus operators in two physical models”. Zbl 1437.26008
Baleanu, Dumitru
6
2020
Mathematical modeling for adsorption process of Dye removal nonlinear equation using power law and exponentially decaying kernels. Zbl 1437.34012
Qureshi, Sania; Yusuf, Abdullahi; Ali Shaikh, Asif; Inc, Mustafa; Baleanu, Dumitru
6
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
6
2020
On accurate solution of the Fredholm integral equations of the second kind. Zbl 1437.65233
Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru
6
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
5
2020
A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model. Zbl 1482.34017
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
5
2020
A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions. Zbl 07509699
Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
5
2020
Regularization of a terminal value problem for time fractional diffusion equation. Zbl 1447.35370
Triet, Nguyen Anh; Van Au, Vo; Long, Le Dinh; Baleanu, Dumitru; Tuan, Nguyen Huy
5
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
5
2020
A Tau-like numerical method for solving fractional delay integro-differential equations. Zbl 1440.65280
Shahmorad, Sedaghat; Ostadzad, M. H.; Baleanu, D.
5
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
5
2020
On well-posedness of the sub-diffusion equation with conformable derivative model. Zbl 1450.35276
Nguyen Huy Tuan; Tran Bao Ngoc; Baleanu, Dumitru; O&rsquo;Regan, Donal
5
2020
Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications. Zbl 1482.26038
Rashid, Saima; İşcan, İmdat; Baleanu, Dumitru; Chu, Yu-Ming
4
2020
A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order. Zbl 1485.35382
Ghaffar, Abdul; Ali, Ayyaz; Ahmed, Sarfaraz; Akram, Saima; Junjua, Moin-ud-Din; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy
4
2020
A new adaptive synchronization and hyperchaos control of a biological snap oscillator. Zbl 07504841
Sajjadi, Samaneh Sadat; Baleanu, Dumitru; Jajarmi, Amin; Pirouz, Hassan Mohammadi
4
2020
On a backward problem for fractional diffusion equation with Riemann-Liouville derivative. Zbl 1445.35318
Tuan, Nguyen Huy; Tuan, Nguyen Hoang; Baleanu, Dumitru; Thach, Tran Ngoc
4
2020
New estimates of \(q_1 q_2\)-Ostrowski-type inequalities within a class of \(n\)-polynomial prevexity of functions. Zbl 1466.26018
Kalsoom, Humaira; Idrees, Muhammad; Baleanu, Dumitru; Chu, Yu-Ming
4
2020
Approximate endpoint solutions for a class of fractional \(q\)-differential inclusions by computational results. Zbl 07468611
Aydogan, S. M.; Aguilar, J. F. Gómez; Baleanu, D.; Rezapour, Sh.; Samei, M. E.
4
2020
Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations. Zbl 1457.34114
Ahmad, Israr; Shah, Kamal; Rahman, Ghaus Ur; Baleanu, Dumitru
4
2020
Representation of solutions for Sturm-Liouville eigenvalue problems with generalized fractional derivative. Zbl 1435.34031
Ozarslan, Ramazan; Bas, Erdal; Baleanu, Dumitru
3
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
3
2020
Relations between fractional models with three-parameter Mittag-Leffler kernels. Zbl 1482.26007
Fernandez, Arran; Abdeljawad, Thabet; Baleanu, Dumitru
3
2020
Laplace decomposition for solving nonlinear system of fractional order partial differential equations. Zbl 1485.65109
Khan, Hassan; Shah, Rasool; Kumam, Poom; Baleanu, Dumitru; Arif, Muhammad
3
2020
On the mathematical model of Rabies by using the fractional Caputo-Fabrizio derivative. Zbl 1485.34025
Aydogan, Seher Melike; Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
3
2020
Some new Hardy-type inequalities on time scales. Zbl 07499679
El-Deeb, Ahmed A.; Elsennary, Hamza A.; Baleanu, Dumitru
3
2020
Analysis of fractional Swift-Hohenberg equation using a novel computational technique. Zbl 1446.35256
Veeresha, Pundikala; Prakasha, Doddabhadrappla Gowda; Baleanu, Dumitru
3
2020
Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator. Zbl 1447.35084
Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru
3
2020
Approximate solutions to the conformable Rosenau-Hyman equation using the two-step Adomian decomposition method with Padé approximation. Zbl 1452.34008
Akgül, Ali; Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; Baleanu, Dumitru
3
2020
Visco-elastic dampers in structural buildings and numerical solution with spline collocation methods. Zbl 07435087
Dadkhah, Ehsan; Shiri, Babak; Ghaffarzadeh, Hosein; Baleanu, Dumitru
2
2020
Solving time fractional Burgers’ and Fisher’s equations using cubic B-spline approximation method. Zbl 1482.35254
Majeed, Abdul; Kamran, Mohsin; Iqbal, Muhammad Kashif; Baleanu, Dumitru
2
2020
The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives. Zbl 1482.35239
Abdel Latif, Mohamed S.; Abdel Kader, Abass H.; Baleanu, Dumitru
2
2020
A coupled system of generalized Sturm-Liouville problems and Langevin fractional differential equations in the framework of nonlocal and nonsingular derivatives. Zbl 1482.34015
Baleanu, D.; Alzabut, J.; Jonnalagadda, J. M.; Adjabi, Y.; Matar, M. M.
2
2020
A fractional derivative with two singular kernels and application to a heat conduction problem. Zbl 1482.26005
Baleanu, Dumitru; Jleli, Mohamed; Kumar, Sunil; Samet, Bessem
2
2020
Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator. Zbl 1482.35253
Luc, Nguyen Hoang; Huynh, Le Nhat; Baleanu, Dumitru; Can, Nguyen Huu
2
2020
Some modifications in conformable fractional integral inequalities. Zbl 1485.26019
Baleanu, Dumitru; Mohammed, Pshtiwan Othman; Vivas-Cortez, Miguel; Rangel-Oliveros, Yenny
2
2020
Two sequential fractional hybrid differential inclusions. Zbl 1485.34047
Mohammadi, Hakimeh; Rezapour, Shahram; Etemad, Sina; Baleanu, Dumitru
2
2020
A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. Zbl 1485.37075
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram
2
2020
Structure preserving computational technique for fractional order Schnakenberg model. Zbl 1463.65410
Iqbal, Zafar; Ahmed, Nauman; Baleanu, Dumitru; Rafiq, Muhammad; Iqbal, Muhammad Sajid; Rehman, Muhammad Aziz-Ur
2
2020
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484 Băleanu, Dumitru I.
158 Abdeljawad, Thabet
110 Ahmad, Bashir
99 Ntouyas, Sotiris K.
78 Rezapour, Shahram
73 Machado, José António Tenreiro
72 Jarad, Fahd
67 Agarwal, Ravi P.
61 Al-saedi, Ahmed Eid Salem
61 Gómez-Aguilar, José Francisco
60 Sooppy Nisar, Kottakkaran
54 Chu, Yuming
53 Shah, Kamal
53 Yang, Xiao-Jun
50 Atangana, Abdon
49 Nieto Roig, Juan Jose
48 Torres, Delfim Fernando Marado
47 Jafari, Hossein
46 Bhrawy, Ali Hassan
43 Rashid, Saima
43 Singh, Jagdev
43 Wang, Guotao
42 Tariboon, Jessada
40 Benchohra, Mouffak
40 Farid, Ghulam
40 Kumar, Devendra
39 Inc, Mustafa
39 O’Regan, Donal
38 Wang, Jinrong
36 Etemad, Sina
36 Khan, Aziz
35 Khan, Hasib
35 Salahshour, Soheil
34 Srivastava, Hari Mohan
33 Wu, Guocheng
31 Agarwal, Praveen
30 Akgül, Ali
30 Zhang, Lihong
29 Almeida, Ricardo
29 Yusuf, Abdullahi A.
28 Ahmadian, Ali
28 Rahman, Gauhar
27 Momani, Shaher M.
27 Ordokhani, Yadollah
25 Doha, Eid H.
25 Golmankhaneh, Alireza Khalili
25 Liu, Fawang
24 Samei, Mohammad Esmael
23 Cattani, Carlo
23 Ibrahim, Rabha Waell
23 Purohit, Sunil Dutt
23 Sitthiwirattham, Thanin
23 Zhou, Yong
22 Abdelkawy, Mohamed A.
22 Abdo, Mohammed Salem
22 Al-Smadi, Mohammed H.
22 Alzabut, Jehad O.
22 Hammouch, Zakia
22 Kumar, Sunil
22 Muslih, Sami I.
22 Ouannas, Adel
22 Owolabi, Kolade Matthew
21 Abbas, Said
21 Debbouche, Amar
21 Fernandez, Arran
21 Kiliçman, Adem
21 Kumam, Poom
21 Li, Changpin
21 Lopes, António M.
20 Dehghan Takht Fooladi, Mehdi
20 Ezz-Eldien, Samer S.
20 Saad, Khaled Mohammed
20 Zaky, Mahmoud A.
19 Baskonus, Haci Mehmet
19 Khan, Rahmat Ali
19 Mohammadi, Hakimeh
19 Nguyen Huy Tuan
19 Sun, Hongguang
19 Zada, Akbar
18 Alquran, Marwan Taiseer
18 Chen, Yangquan
18 Luo, Shaokai
18 Pham, Viet-Thanh
18 Rafiq, Muhammad H.
18 Razzaghi, Mohsen
18 Veeresha, Pundikala
18 Zhang, Yi
17 Agrawal, Om Prakash
17 Khan, Muhammad Altaf
17 Prakasha, Doddabhadrappla Gowda
17 Sweilam, Nasser Hassan
16 Baş, Erdal
16 Ghanbari, Behzad
16 Goodrich, Christopher S.
16 Khan, Ilyas
16 Khennaoui, Amina-Aicha
16 Mohammed, Pshtiwan Othman
16 Ngo Van Hoa
16 Sene, Ndolane
16 Suthar, Daya Lal
...and 6,318 more Authors
all top 5

Cited in 400 Serials

721 Advances in Difference Equations
355 Chaos, Solitons and Fractals
209 Applied Mathematics and Computation
205 Abstract and Applied Analysis
164 Fractals
153 International Journal of Applied and Computational Mathematics
142 AIMS Mathematics
124 Nonlinear Dynamics
121 Computational and Applied Mathematics
120 Fractional Calculus & Applied Analysis
115 Journal of Function Spaces
104 Communications in Nonlinear Science and Numerical Simulation
103 Journal of Computational and Applied Mathematics
92 Mathematical Problems in Engineering
90 Computers & Mathematics with Applications
85 Advances in Mathematical Physics
84 Boundary Value Problems
68 Journal of Inequalities and Applications
63 Applied Numerical Mathematics
62 Journal of Nonlinear Science and Applications
55 Journal of Applied Mathematics and Computing
53 Discrete and Continuous Dynamical Systems. Series S
52 Physica A
52 Discrete Dynamics in Nature and Society
50 Chaos
46 Mathematics and Computers in Simulation
45 Complexity
43 Applied Mathematics Letters
43 International Journal of Computer Mathematics
41 Journal of Mathematics
39 Filomat
38 Journal of Vibration and Control
36 Applied Mathematical Modelling
34 International Journal of Nonlinear Sciences and Numerical Simulation
34 Mediterranean Journal of Mathematics
33 Journal of the Franklin Institute
33 Journal of Optimization Theory and Applications
31 International Journal of Theoretical Physics
30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
29 Mathematical Modelling of Natural Phenomena
27 Open Mathematics
26 Numerical Algorithms
24 Journal of Computational Physics
24 Journal of Mathematical Physics
24 Mathematical Methods in the Applied Sciences
24 Nonlinear Analysis. Modelling and Control
24 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
22 International Journal of Biomathematics
22 Mathematical Sciences
21 Journal of Mathematical Analysis and Applications
21 Tbilisi Mathematical Journal
20 International Journal of Differential Equations
20 Journal of Mathematical Extension
20 International Journal of Systems Science. Principles and Applications of Systems and Integration
18 Fuzzy Sets and Systems
18 Journal of Applied Analysis and Computation
17 Acta Mechanica
16 Differential Equations and Dynamical Systems
16 Fractional Differential Calculus
15 Symmetry
15 S\(\vec{\text{e}}\)MA Journal
14 Journal of Difference Equations and Applications
14 Mathematical Modelling and Analysis
14 Asian Journal of Control
14 Mathematics
13 International Journal of Control
13 Journal of Scientific Computing
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
13 Journal of Applied Nonlinear Dynamics
13 Computational Methods for Differential Equations
12 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
12 Journal of Applied Mathematics
12 Applications and Applied Mathematics
12 Journal of Fixed Point Theory and Applications
12 Palestine Journal of Mathematics
11 Applicable Analysis
11 Physics Letters. A
11 Reports on Mathematical Physics
11 Afrika Matematika
10 Journal of Geometry and Physics
10 Turkish Journal of Mathematics
10 Journal of Function Spaces and Applications
10 Arabian Journal of Mathematics
10 Evolution Equations and Control Theory
9 Rocky Mountain Journal of Mathematics
9 Journal of Integral Equations and Applications
9 Neural Networks
9 Lobachevskii Journal of Mathematics
9 Kragujevac Journal of Mathematics
9 Asian-European Journal of Mathematics
9 Journal of Mathematical Modeling
8 Journal of the Egyptian Mathematical Society
8 Nonlinear Analysis. Real World Applications
8 Discrete and Continuous Dynamical Systems. Series B
8 Hacettepe Journal of Mathematics and Statistics
8 Fixed Point Theory and Applications
8 Mathematical Biosciences and Engineering
8 Differential Equations and Applications
8 Advances in Applied Mathematics and Mechanics
8 Electronic Research Archive
...and 300 more Serials
all top 5

Cited in 55 Fields

2,510 Ordinary differential equations (34-XX)
1,930 Real functions (26-XX)
1,503 Partial differential equations (35-XX)
1,328 Numerical analysis (65-XX)
557 Operator theory (47-XX)
525 Systems theory; control (93-XX)
449 Biology and other natural sciences (92-XX)
365 Integral equations (45-XX)
303 Calculus of variations and optimal control; optimization (49-XX)
297 Special functions (33-XX)
295 Difference and functional equations (39-XX)
277 Dynamical systems and ergodic theory (37-XX)
178 Fluid mechanics (76-XX)
149 Probability theory and stochastic processes (60-XX)
131 Mechanics of particles and systems (70-XX)
129 Integral transforms, operational calculus (44-XX)
108 Statistical mechanics, structure of matter (82-XX)
90 Mechanics of deformable solids (74-XX)
77 Approximations and expansions (41-XX)
75 Information and communication theory, circuits (94-XX)
74 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
72 Measure and integration (28-XX)
72 Harmonic analysis on Euclidean spaces (42-XX)
67 Quantum theory (81-XX)
55 Optics, electromagnetic theory (78-XX)
53 General topology (54-XX)
52 Operations research, mathematical programming (90-XX)
50 Functional analysis (46-XX)
43 Computer science (68-XX)
35 Functions of a complex variable (30-XX)
35 Classical thermodynamics, heat transfer (80-XX)
33 Combinatorics (05-XX)
31 Relativity and gravitational theory (83-XX)
23 Global analysis, analysis on manifolds (58-XX)
19 Geophysics (86-XX)
18 Number theory (11-XX)
18 Differential geometry (53-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Statistics (62-XX)
12 Potential theory (31-XX)
10 Abstract harmonic analysis (43-XX)
8 General and overarching topics; collections (00-XX)
7 Mathematical logic and foundations (03-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Sequences, series, summability (40-XX)
5 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
4 Convex and discrete geometry (52-XX)
4 Mathematics education (97-XX)
2 Field theory and polynomials (12-XX)
2 Astronomy and astrophysics (85-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Geometry (51-XX)

Citations by Year