%0 Journal Article
%T Solvability of infinite system of nonlinear singular integral equations in the $C(I\times I, c)$ space and modified semi-analytic method to find a closed-form of solution
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Das, Anupam
%A Rabbani, Mohsen
%A Hazarika, Bipan
%A Arab, Reza
%D 2019
%\ 11/01/2019
%V 10
%N 1
%P 63-76
%! Solvability of infinite system of nonlinear singular integral equations in the $C(I\times I, c)$ space and modified semi-analytic method to find a closed-form of solution
%K Measure of noncompactness
%K Infinite systems of singular integral equations
%K Meir-Keeler condensing operators
%K Fixed point theorem
%K Modified homotopy perturbation
%R 10.22075/ijnaa.2019.16525.1875
%X In this article, we discuss about solvability of infinite systems of singular integral equations with two variables in the Banach sequence space $C(I \times I, c)$ by applying measure of noncompactness and Meir-Keeler condensing operators. By presenting an example, we have illustrated our results. For validity of the results we introduce a modified semi-analytic method in the case of two variables to make an iteration algorithm to find a closed-form of solution for the above problem. The numerical results show that the produced sequence for approximating the solution of example is in the $c$ space with a high accuracy.
%U https://ijnaa.semnan.ac.ir/article_4053_f0d83ce21ced64ebc87901f2504b2f55.pdf