A note on Fractional Simpson-like type inequalities for functions whose third derivatives are convex

Abstract

In this paper, an equality is established for Riemann--Liouville fractional integral. With the aid of this equality, it is proved some fractionalSimpson-like type inequalities for functions whose third derivatives in absolute value are convex. By using special cases of the main results,previously obtained Simpson type inequalities are found for the Riemann--Liouville fractional integral. Furthermore, mathematical example ispresented to verify the newly established inequality.