Inequalities for different type of functions via Caputo fractional derivative

Abstract

In this paper, we obtain some new inequalities for different type of functions that are connected with the Caputo fractional derivative. We extend and generalize some important inequalities to this interesting calculus including Hermite-Hadamard inequality.

Keywords

• hermite-hadamard inequality
• caputo fractional derivative
• convex functions
• different types of functions