Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Author:

Gao Tingmei1,Farid Ghulam2ORCID,Ahmad Ayyaz2,Luangboon Waewta3,Nonlaopon Kamsing3ORCID

Affiliation:

1. School of Mathematical and Computer Science, Shaanxi University of Technology, Hanzhong 723000, China

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

3. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Abstract

This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator. A fractional integral operator comprising a unified Mittag-Leffler function is used to establish further Minkowski-type integral inequalities. Several related fractional integral inequalities that have recently been published in various articles can be inferred.

Publisher

Hindawi Limited

Subject

Analysis

Reference36 articles.

1. A further extension of Mittag-Leffler function

2. A generalization of Mittag-Leffler function and integral operator associated with fractional calculus;T. O. Salim;Journal of Fractional Calculus and Applications,2012

3. A unified integral operator and further its consequences

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