Inequalities for α-fractional differentiable functions

Abstract

Abstract In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.

Keywords

• convex function
• Hermite-Hadamard inequality
• fractional derivative
• fractional integral
• special mean
• trapezoidal formula