Study of a generalized Riemann-Liouville fractional integral via convex functions

Abstract

In this paper estimations in general form of sum of left and right sided Riemann-Liouville (RL) fractional integrals for convex functions are studied. Also some similar fractional inequalities for functions whose derivatives in absolute value are convex, have been obtained. Associated fractional integral inequalities provide the bounds of different known fractional inequalities. These results may be useful in in the study of uniqueness solutions of fractional differential equations and fractional boundary value problems.