On the existence of solutions for fractional integral equations by measure of non-compactness in Banach space

Document Type : Original Paper


Department of Mathematics‎, Ashtian Branch‎, ‎Islamic Azad University‎, Ashtian‎, ‎Iran


‎In this paper‎, the existence of the solutions of a class of fractional integral equations in

Banach algebra, are investigated. The main tools here

are the technique of the measure of noncompactness and the Petryshyn's fixed point theorem. ‎Also‎, ‎for the applicability of the obtained results‎, ‎some‎ examples are given‎.


Main Subjects