| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017
Special functions and analysis of PDEs
|
|
|---|---|---|
| Page(s) | 4 - 13 | |
| DOI | https://doi.org/10.1051/mmnp/201712302 | |
| Published online | 31 May 2017 | |
Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel
1
J.D. Djida African Institute for Mathematical Sciences (AIMS) P.O. Box 608, Limbe Crystal Gardens, South West Region, Cameroon
2
University of the Free State, Institute for Groundwater Studies Faculty of Natural and Agricultural Sciences 9301, Bloemfontein, South Africa
3
Universidade de Vigo, Campus As Lagoas, Departamento de Matemática Aplicada II E.E. Aeronáutica e do Espazo 32004 Ourense, Spain
* Corresponding author. E-mail: jeandaniel.djida@aims-cameroon.org
A numerical scheme for solving fractional initial value problems involving the Atangana-Baleanu fractional derivative is presented. Some examples for the proposed method are included, both for equations and systems of fractional initial value problems.
Mathematics Subject Classification: 26A33 / 34A08 / 65L06
Key words: fractional differential equations / Atangana-Baleanu fractional derivative / initial value problem fractional
© EDP Sciences, 2017
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