Fractional integral inequalities for h-convex functions via Caputo-Fabrizio operator

Abstract

The aim of this paper is to study h convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via h convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of h convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by through special means.

Keywords

• capoto-fabrizio fractional operator
• h-convexity
• hermite-hadamard type inequality