Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017Special functions and analysis of PDEs
|Page(s)||4 - 13|
|Published online||31 May 2017|
Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel
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: firstname.lastname@example.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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