On weighted Atangana-Baleanu fractional operators

被引：52
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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