Some Fractional Integral Inequalities Involving Mittag-Kernels

Author:

Zhang Xiujun1ORCID,Farid Ghulam2ORCID,Reunsumrit Jiraporn3,Ahmad Ayyaz2,Sitthiwirattham Thanin4ORCID

Affiliation:

1. School of Computer Science, Chengdu University, Chengdu, China

2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan

3. Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

4. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

Abstract

This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. Inequalities for various kinds of well-known integral operators can be deduced by selecting specific values of involved parameters. Some particular cases of main results provide connection with the inequalities which have been published in recent years.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

Hindawi Limited

Subject

General Mathematics

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