On Caputo-Fabrizio Fractional Integral Inequalities of Hermite-Hadamard Type for Modified h-Convex Functions

被引：11

作者：

Wang, Xiaobin ^{[1
]}

Saleem, Muhammad Shoaib ^{[2
]}

Aslam, Kiran Naseem ^{[2
]}

Wu, Xingxing ^{[1
]}

Zhou, Tong ^{[3
]}

机构：

[1] Xinjiang Inst Technol, Coll Sci, Aksu 843100, Peoples R China

[2] Univ Okara, Dept Math, Okara, Pakistan

[3] Xinjiang Inst Technol, Publ Basic Teaching Dept, Aksu 843100, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2020年 / 2020卷

关键词：

DIFFUSION; MEMORY;

D O I：

10.1155/2020/8829140

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The theory of convex functions plays an important role in engineering and applied mathematics. The Caputo-Fabrizio fractional derivatives are one of the important notions of fractional calculus. The aim of this paper is to present some properties of Caputo-Fabrizio fractional integral operator in the setting of h-convex function. We present some new Caputo-Fabrizio fractional estimates from Hermite-Hadamard-type inequalities. The results of this paper can be considered as the generalization and extension of many existing results of inequalities and convex functions. Moreover, we also present some application of our results to special means of real numbers.

引用

页数：17