On generalization conformable fractional integral inequalities

Abstract

The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for fractional derivatives and integrals. The established results are extensions of some existing Gronwall, Volterra and Pachpattetype inequalities in the previous published studies.