Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it

Abstract

In this article, we establish the existence of solution for two dimensional nonlinear fractional integral equation using fixed point theorem and measure of noncompactness. Applicability of our results is shown by some examples and for validity of the proposed method we make an iterative algorithm by semi-analytic technique that finds a closed form of the solution with an acceptable accuracy. Ability of the proposed method is granted by comparison with another method found in existing literature.