Title of article
Solvability of innite system of nonlinear singular integral equations in the C(I ✖ I; c) space and modied semi-analytic method to nd a closed-form of solution
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
Pages
14
From page
63
To page
76
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
Serial Year
2019
Record number
2493485
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