Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682210120191101Solvability of infinite system of nonlinear singular integral equations in the C(Itimes I, c) space and modified semi-analytic method to find a closed-form of solution6376405310.22075/ijnaa.2019.16525.1875ENAnupamDasDepartment of Mathematics‎, ‎Rajiv Gandhi University‎, ‎Rono Hills‎, ‎Arunachal Pradesh‎, ‎IndiaMohsenRabbaniIslamic Azad University,Iran0000-0003-3602-6125BipanHazarikaDepartment of Mathematics‎, ‎Gauhati University‎, ‎Guwahati-781014‎, ‎Assam‎, ‎India0000-0002-0644-0600RezaArabDepartment of Mathematics‎, ‎Islamic Azad University,IranJournal Article20181118In 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.https://ijnaa.semnan.ac.ir/article_4053_f0d83ce21ced64ebc87901f2504b2f55.pdf