Author/Authors :
Das, Anupam Department of Mathematics - Rajiv Gandhi University, Rono Hills, Arunachal Pradesh, India , Rabbani, Mohsen Department of Mathematics - Sari Branch Islamic Azad University, Sari, Iran , Hazarika, Bipan Department of Mathematics - Rajiv Gandhi University, Rono Hills, Arunachal Pradesh, India , Arab, Reza Department of Mathematics - Sari Branch Islamic Azad University, Sari, Iran
Abstract :
In this article, we discuss about solvability of innite systems of singular integral equations with
two variables in the Banach sequence space C(I ✖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 modied semi-analytic method in the case of two variables to
make an iteration algorithm to nd 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
