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

Published on Dec 1, 2020in Journal of Inequalities and Applications2.491

· DOI :10.1186/S13660-020-02438-1

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.