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

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.