New operators for fractional integration theory with some applications

Authors

  • Mehmet Zeki Sarikaya
  • Mohamed BEZZIOU
  • Zoubir DAHMANI

DOI:

https://doi.org/10.30495/jme.v12i1.760

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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Published

2018-06-29

Issue

Section

Vol. 12, No. 4, (2018)