|
|
|
|
Solvability of infinite system of nonlinear singular integral equations in the C(I × I, c) space and modified semi-analytic method to find a closed-form of solution
|
|
|
|
|
|
|
|
نویسنده
|
das anupam ,rabbani mohsen ,hazarika bipan ,arab reza
|
|
منبع
|
international journal of nonlinear analysis and applications - 2019 - دوره : 10 - شماره : 1 - صفحه:63 -76
|
|
چکیده
|
In this article, we discuss about solvability of infinite 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 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.
|
|
کلیدواژه
|
Measure of noncompactness; Infinite systems of singular integral equations; Meir-Keeler condensing operators; Fixed point theorem; Modified homotopy perturbation
|
|
آدرس
|
rajiv gandhi university, department of mathematics, India, islamic azad university, sari branch, department of mathematics, Iran, rajiv gandhi university, department of mathematics, India. gauhati university, department of mathematics, India, islamic azad university, sari branch, department of mathematics, Iran
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|