Hermite-Hadamard inequality for fractional integrals of Caputo-Fabrizio type and related inequalities

被引：54

作者：

Gurbuz, Mustafa ^{[1
]}

Akdemir, Ahmet Ocak ^{[2
]}

Rashid, Saima ^{[3
]}

Set, Erhan ^{[4
]}

机构：

[1] Ibrahim Cecen Univ Agri, Fac Educ, Dept Math, Agri, Turkey

[2] Ibrahim Cecen Univ Agri, Fac Arts & Sci, Dept Math, Agri, Turkey

[3] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[4] Ordu Univ, Fac Arts & Sci, Dept Math, Ordu, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Caputo-Fabrizio Fractional integral; Convexity;

D O I：

10.1186/s13660-020-02438-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, firstly, Hermite-Hadamard's inequality is generalized via a fractional integral operator associated with the Caputo-Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, some applications of our main findings are given.

引用

页数：10

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