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

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