Solvability of infinite systems of nonlinear singular integral equations in the C(I x I, c) space and using semi-analytic method to find a closed-form of solution

被引：0
|
作者：
Das, Anupam [1 ]
Rabbani, Mohsen [2 ]
Hazarika, Bipan [1 ,3 ]
Arab, Reza [2 ]
机构：
[1] Rajiv Gandhi Univ, Dept Math, Doimukh 791112, Arunachal Prade, India
[2] Islamic Azad Univ, Dept Math, Sari Branch, Sari, Iran
[3] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2019年 / 10卷 / 01期
关键词：
Measure of noncompactness; Infinite systems of singular integral equations; Meir-Keeler condensing operators; Fixed point theorem; Modified homotopy perturbation; HOMOTOPY PERTURBATION METHOD; 2; VARIABLES; DIFFERENTIAL-EQUATIONS; NONCOMPACTNESS; EXISTENCE; THEOREM;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we discuss about solvability of infinite systems of singular integral equations with two variables in the Banach sequence space C(I x 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.
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页码：63 / 76
页数：14
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