Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Preface for the Special Issue on “Special functions and analysis of PDEs”

M. Ruzhansky, P. Agarwal, I. Area, et al.
Mathematical Modelling of Natural Phenomena 12 (3) 1 (2017)
DOI: 10.1051/mmnp/201712301
See this article

Fractional Derivatives with Mittag-Leffler Kernel

G. M. Bahaa and A. Atangana
Studies in Systems, Decision and Control, Fractional Derivatives with Mittag-Leffler Kernel 194 13 (2019)
DOI: 10.1007/978-3-030-11662-0_2
See this article

Atangana-Batogna numerical scheme applied on a linear and non-linear fractional differential equation

Badr Saad T. Alkahtani
The European Physical Journal Plus 133 (3) (2018)
DOI: 10.1140/epjp/i2018-11961-8
See this article

Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

Omar Abu Arqub and Banan Maayah
Chaos, Solitons & Fractals 125 163 (2019)
DOI: 10.1016/j.chaos.2019.05.025
See this article

New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations

C. Ravichandran, K. Logeswari and Fahd Jarad
Chaos, Solitons & Fractals 125 194 (2019)
DOI: 10.1016/j.chaos.2019.05.014
See this article

Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel

H. Yépez-Martínez, J.F. Gómez-Aguilar, Abdon Atangana, et al.
Mathematical Modelling of Natural Phenomena 13 (1) 13 (2018)
DOI: 10.1051/mmnp/2018002
See this article

Optimal Control of Diffusion Equation with Fractional Time Derivative with Nonlocal and Nonsingular Mittag-Leffler Kernel

Jean-Daniel Djida, Gisèle Mophou and Iván Area
Journal of Optimization Theory and Applications 182 (2) 540 (2019)
DOI: 10.1007/s10957-018-1305-6
See this article

Some New Fractional-Calculus Connections between Mittag–Leffler Functions

Hari M. Srivastava, Arran Fernandez and Dumitru Baleanu
Mathematics 7 (6) 485 (2019)
DOI: 10.3390/math7060485
See this article

The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel

Arran Fernandez and Dumitru Baleanu
Advances in Difference Equations 2018 (1) (2018)
DOI: 10.1186/s13662-018-1543-9
See this article

On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag–Leffler kernel

Dumitru Baleanu, Amin Jajarmi and Mojtaba Hajipour
Nonlinear Dynamics 94 (1) 397 (2018)
DOI: 10.1007/s11071-018-4367-y
See this article

On some new properties of fractional derivatives with Mittag-Leffler kernel

Dumitru Baleanu and Arran Fernandez
Communications in Nonlinear Science and Numerical Simulation 59 444 (2018)
DOI: 10.1016/j.cnsns.2017.12.003
See this article

Atangana–Baleanu fractional approach to the solutions of Bagley–Torvik and Painlevé equations in Hilbert space

Omar Abu Arqub and Mohammed Al-Smadi
Chaos, Solitons & Fractals 117 161 (2018)
DOI: 10.1016/j.chaos.2018.10.013
See this article

Optimality conditions for fractional differential inclusions with nonsingular Mittag–Leffler kernel

G. M. Bahaa and Adnane Hamiaz
Advances in Difference Equations 2018 (1) (2018)
DOI: 10.1186/s13662-018-1706-8
See this article

Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions

Arran Fernandez, Dumitru Baleanu and H.M. Srivastava
Communications in Nonlinear Science and Numerical Simulation 67 517 (2019)
DOI: 10.1016/j.cnsns.2018.07.035
See this article

A novel method for a fractional derivative with non-local and non-singular kernel

Ali Akgül
Chaos, Solitons & Fractals 114 478 (2018)
DOI: 10.1016/j.chaos.2018.07.032
See this article

A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

D. Baleanu, B. Shiri, H. M. Srivastava and M. Al Qurashi
Advances in Difference Equations 2018 (1) (2018)
DOI: 10.1186/s13662-018-1822-5
See this article

Optimal control problem for coupled time-fractional diffusion systems with final observations

G. M. Bahaa and A. Hamiaz
Journal of Taibah University for Science 13 (1) 124 (2019)
DOI: 10.1080/16583655.2018.1545560
See this article

Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator

Omar Abu Arqub and Banan Maayah
Chaos, Solitons & Fractals 117 117 (2018)
DOI: 10.1016/j.chaos.2018.10.007
See this article

Fractional Derivatives with Mittag-Leffler Kernel

K. M. Saad, J. F. Gómez-Aguilar, A. Atangana and R. F. Escobar-Jiménez
Studies in Systems, Decision and Control, Fractional Derivatives with Mittag-Leffler Kernel 194 293 (2019)
DOI: 10.1007/978-3-030-11662-0_17
See this article

Fractional Herglotz variational problems with Atangana–Baleanu fractional derivatives

Jianke Zhang, Luyang Yin and Chang Zhou
Journal of Inequalities and Applications 2018 (1) (2018)
DOI: 10.1186/s13660-018-1635-9
See this article

System of fractional differential algebraic equations with applications

B. Shiri and D. Baleanu
Chaos, Solitons & Fractals 120 203 (2019)
DOI: 10.1016/j.chaos.2019.01.028
See this article

Optimal control problem for variable-order fractional differential systems with time delay involving Atangana–Baleanu derivatives

G.M. Bahaa
Chaos, Solitons & Fractals 122 129 (2019)
DOI: 10.1016/j.chaos.2019.03.001
See this article

Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives

Moulay Rchid Sidi Ammi and Delfim F.M. Torres
Computers & Mathematics with Applications (2019)
DOI: 10.1016/j.camwa.2019.03.043
See this article