@article {
author = {Das, Anupam and Rabbani, Mohsen and Hazarika, Bipan and Arab, Reza},
title = {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},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {10},
number = {1},
pages = {63-76},
year = {2019},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2019.16525.1875},
abstract = {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.},
keywords = {Measure of noncompactness,Infinite systems of singular integral equations,Meir-Keeler condensing operators,Fixed point theorem,Modified homotopy perturbation},
url = {https://ijnaa.semnan.ac.ir/article_4053.html},
eprint = {https://ijnaa.semnan.ac.ir/article_4053_f0d83ce21ced64ebc87901f2504b2f55.pdf}
}