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

Jean‐Daniel DjidaJ.D. Djida African Institute for Mathematical Sciences (AIMS) P.O. Box 608, Limbe Crystal Gardens, South West Region, CameroonAbdon AtanganaUniversity of the Free State, Institute for Groundwater Studies Faculty of Natural and Agricultural Sciences 9301, Bloemfontein, South AfricaIván AreaUniversidade de Vigo, Campus As Lagoas, Departamento de Matemática Aplicada II E.E. Aeronáutica e do Espazo 32004 Ourense, Spain
2017en
ABI

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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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