4.4 Article

Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel

Journal

MATHEMATICAL MODELLING OF NATURAL PHENOMENA
Volume 12, Issue 3, Pages 4-13

Publisher

EDP SCIENCES S A
DOI: 10.1051/mmnp/201712302

Keywords

fractional differential equations; Atangana-Baleanu fractional derivative; fractional initial value problem

Funding

  1. Agencia Estatal de Investigacion (AEI) of Spain [MTM2016-75140-P]
  2. European Community fund FEDER
  3. Xunta de Galicia [GRC 2015-004]

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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.

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