Some Minkowski-type inequalities using generalized proportional Hadamard fractional integral operators

TL;DR

This paper derives Minkowski-type inequalities using generalized proportional Hadamard fractional integrals and establishes additional inequalities for positive continuous functions, expanding fractional calculus tools.

Contribution

It introduces new Minkowski-type fractional inequalities based on generalized proportional Hadamard operators, extending existing fractional integral inequality frameworks.

Findings

Derived Minkowski-type fractional inequalities.

Established inequalities for positive continuous functions.

Extended fractional calculus methods.

Abstract

The main objective of present investigation to obtain some Minkowski-type fractional integral inequalities using generalised proportional Hadamard fractional integral operators which is introduced by Rahman et al in the paper (certain inequalities via generalized proportional Hadamard fractional integral operators), Advances in Differential Equations, (2019), 2019:454. In addition, we establish some other fractional integral inequalities for positive and continuous functions.