Minkowski type inequalities for a generalized fractional integral

Wael Abdelhedi

doi:10.56754/0719-0646.2701.007

DOI:

https://doi.org/10.56754/0719-0646.2701.007

Abstract

In this paper we introduce a new generalized fractional integral unifying most of previous existing fractional integrals. Then, we prove some essential properties of this new operator under some classical assumptions. As application, we use this novel fractional integral to establish a several inequalities of Minkowski type. Our results recover a large number of a well known inequalities in the literature.

Keywords

Fractional calculus , fractional integral , Riemann-Liouville integral , reverse Minkowski inequality

Mathematics Subject Classification:

26A33 , 26D15

Wael Abdelhedi Department of mathematics, Faculty of Sciences of Sfax, Sfax University, 3018 Sfax, Tunisia. https://orcid.org/0000-0003-2152-6290

Pages: 7–28
Date Published: 2025-04-27
Vol. 27 No. 1 (2025)

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