Document Type : Research Paper
Department of Mathematics‎, ‎Rajiv Gandhi University‎, ‎Rono Hills‎, ‎Arunachal Pradesh‎, ‎India
Islamic Azad University,Iran
Department of Mathematics‎, ‎Gauhati University‎, ‎Guwahati-781014‎, ‎Assam‎, ‎India
Department of Mathematics‎, ‎Islamic Azad University,Iran
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.