A fractional integral identity and its application to fractional Hermite-Hadamard type inequalities

Abstract

In this paper, we establish a new important integral identity for a given function involving Riemann-Liouville fractional integrals. By using this fundamental integral identity, convexity of the functions and elementary inequalities such as Hölder inequality, several new fractional Hermite-Hadamard type inequalities are obtained. Finally, we apply these inequalities to Some special means.

Subject Classification:

• 26A51
• 26D10

Keywords:

• Hermite-Hadamard type inequalities
• Riemann-Liouville fractional integrals
• Convex functions