A note on the generalization of Minkowski's and some other types of integral inequalities via modified AB-fractional op-erator

Many researchers are attracted to the AB-fractional integral operators for the investigation of a wide range of problems in divers fields. In this paper, we take into consideration the definition of modified AB-fractional integral operators recently proposed by [W. H. Huang, M. Samraiz, A. Mehmood, D. Baleanu, G. Rahman, S. Naheed, Alex. Eng. J., 75 (2023), 639- 648]. With the modified AB-fractional integral operators, we propose a generalization of the reverse Minkowski inequality. We also use the modified AB-fractional integral operator to develop some more related integral inequalities. The inequalities in this paper are more general as compared to the existing inequalities. These inequalities extend fractional versions of Minkowski-type inequalities that are both previously known and novel.

Journal

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS

Year

2026

Volume

40

Issue

1

Pages

38-48

ISSN

2008-949X

DOI

10.22436/jmcs.040.01.03

WoS UID

WOS:001501228300003