Some Fractional Integral Inequalities Involving Mittag-Kernels

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...

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Main Authors: Xiujun Zhang, Ghulam Farid, Jiraporn Reunsumrit, Ayyaz Ahmad, Thanin Sitthiwirattham
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/1474007
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author Xiujun Zhang
Ghulam Farid
Jiraporn Reunsumrit
Ayyaz Ahmad
Thanin Sitthiwirattham
author_facet Xiujun Zhang
Ghulam Farid
Jiraporn Reunsumrit
Ayyaz Ahmad
Thanin Sitthiwirattham
author_sort Xiujun Zhang
collection DOAJ
description 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.
format Article
id doaj-art-d3054dcfd546419bb34c030e60d3793b
institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-d3054dcfd546419bb34c030e60d3793b2025-02-03T06:05:03ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1474007Some Fractional Integral Inequalities Involving Mittag-KernelsXiujun Zhang0Ghulam Farid1Jiraporn Reunsumrit2Ayyaz Ahmad3Thanin Sitthiwirattham4School of Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsMathematics DepartmentThis 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.http://dx.doi.org/10.1155/2022/1474007
spellingShingle Xiujun Zhang
Ghulam Farid
Jiraporn Reunsumrit
Ayyaz Ahmad
Thanin Sitthiwirattham
Some Fractional Integral Inequalities Involving Mittag-Kernels
Journal of Mathematics
title Some Fractional Integral Inequalities Involving Mittag-Kernels
title_full Some Fractional Integral Inequalities Involving Mittag-Kernels
title_fullStr Some Fractional Integral Inequalities Involving Mittag-Kernels
title_full_unstemmed Some Fractional Integral Inequalities Involving Mittag-Kernels
title_short Some Fractional Integral Inequalities Involving Mittag-Kernels
title_sort some fractional integral inequalities involving mittag kernels
url http://dx.doi.org/10.1155/2022/1474007
work_keys_str_mv AT xiujunzhang somefractionalintegralinequalitiesinvolvingmittagkernels
AT ghulamfarid somefractionalintegralinequalitiesinvolvingmittagkernels
AT jirapornreunsumrit somefractionalintegralinequalitiesinvolvingmittagkernels
AT ayyazahmad somefractionalintegralinequalitiesinvolvingmittagkernels
AT thaninsitthiwirattham somefractionalintegralinequalitiesinvolvingmittagkernels