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

被引：71

作者：

Djida, J. D. ^{[1
]}

Atangana, A. ^{[2
]}

Area, I. ^{[3
]}

机构：

[1] JD Djida African Inst Math Sci AIMS, POB 608, South West Region, Cameroon

[2] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9301 Bloemfontein, South Africa

[3] Univ Vigo, Dept Matemat Aplicada 2, EE Aeronaut & Espazo, Campus As Lagoas, Orense 32004, Spain

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2017年 / 12卷 / 03期

关键词：

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

D O I：

10.1051/mmnp/201712302

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：4 / 13

页数：10

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