Hermite-Hadamard inequality for fractional integrals of Caputo-Fabrizio type and related inequalities

Abstract

In this article, firstly, Hermite-Hadamard's inequality is generalized via a fractional integral operator associated with the Caputo-Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, some applications of our main findings are given.