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The applications of fractional order integrals have promoted the study of inequalities. In this paper, we utilize recently introduced left-and right-fractional conformable integrals (FCI) for a class of decreasing n positive functions such that n ∈ N, for the generalization of existing integral inequalities. Our results have the potentials to be used for the investigation of positive solutions of different classes of fractional differential equations.doi:10.22436/jnsa.010.12.04 fatcat:f52piwnrwvfb7mm72l3tbozlfu