- - - Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-۷۹۱۱۱۲, Arunachal Pradesh, India
- - - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
- - - Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh-۷۹۱۱۱۲, Arunachal Pradesh, India
- - - Department of Mathematics, Sari Branch, Islamic Azad University, Sari, 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.

Measure of noncompactness, Infinite systems of singular integral equations, Meir-Keeler condensing operators, Fixed point theorem, Modified homotopy perturbation‎