EXISTENCE OF SOLUTIONS FOR GENERALIZED 2D FRACTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN’S FIXED POINT THEOREM

Abstract

We establish the existence results of the solutions for fractional Volterra-type integral equations of two variables. We use the method of measure of noncompactness and Petryshyn’s fixed point theorem to obtain these results. Our results contain many previously obtained existence results with more relaxed conditions. Finally, we give an example to illustrate our obtained results.