New operators for fractional integration theory with some applications

Mehmet Zeki Sarikaya, Mohamed BEZZIOU, Zoubir DAHMANI

Abstract


In this paper, we introduce new operators on fractional integration that we call (k; s; h)-Riemann-Liouville, (k; s)-Hadamard and (k; s; h)-Hadamard fractional integral operators. We provesome of their properties. Then, using our proposed approaches, we establish some applications oninequalities.

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