P$\acute{o}$lya-Szeg$\ddot{o}$ fractional inequality via Hadamard fractional integral

TL;DR

This paper develops new fractional integral inequalities related to Pólya-Szegő and Minkowski inequalities using Hadamard fractional integrals, expanding the theoretical framework of fractional calculus.

Contribution

It introduces novel fractional inequalities involving Hadamard integrals, extending classical inequalities in fractional calculus.

Findings

Derived new fractional inequalities similar to Pólya-Szegő and Minkowski inequalities.

Explored special cases of the established inequalities.

Enhanced the theoretical understanding of Hadamard fractional integrals.

Abstract

In the present paper, we establish some new fractional integral inequalities similar to P$\acute{o}$lya-Szeg$\ddot{o}$ integral inequality and fractional inequality related to Minkowsky inequality by using the Hadamard fractional integral operator. Also, we discuss few spacial cases of these inequalities.