Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel

被引：44

作者：

Mohammed, Pshtiwan Othman ^{[1
]}

Abdeljawad, Thabet ^{[2
,3
,4
]}

机构：

[1] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Kurdistan Regio, Iraq

[2] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

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

关键词：

Riemann-Liouville fractional integral; Mittag-Leffler function; Integral inequalities; HADAMARD TYPE INEQUALITIES; MITTAG-LEFFLER FUNCTION; DIFFERENTIAL-EQUATIONS; DERIVATIVES;

D O I：

10.1186/s13662-020-02825-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

At first, we construct a connection between the Atangana-Baleanu and the Riemann-Liouville fractional integrals of a function with respect to a monotone function with nonsingular kernel. By examining this relationship and the iterated form of Prabhakar fractional model, we are able to find some new Hermite-Hadamard inequalities and related results on integral inequalities for the two models of fractional calculus which are defined using monotone functions with nonsingular kernels.

引用

页数：19

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