On weighted Atangana-Baleanu fractional operators

被引：44

作者：

Al-Refai, Mohammed ^{[1
]}

机构：

[1] Yarmouk Univ, Dept Math, Irbid, Jordan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Weighted fractional derivatives; Fractional derivatives with nonsingular kernels; Fractional differential equations; EQUATIONS;

D O I：

10.1186/s13662-019-2471-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define the weighted Atangana-Baleanu fractional operators of Caputo sense. We obtain the solution of a related linear fractional differential equation in a closed form, and use the result to define the weighted Atangana-Baleanu fractional integral. We then express the weighted Atangana-Baleanu fractional derivative in a convergent series of Riemann-Liouville fractional integrals, and establish commutative results of the weighted Atangana-Baleanu fractional operators.

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页数：11

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