Existence of Solution for Infinite System of Nonlinear Singular Integral Equations and Semi-Analytic Method to Solve it

被引：3

作者：

Hazarika, Bipan ^{[1
]}

Rabbani, Mohsen ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

Das, Anupam ^{[4
,5
]}

Arab, Reza ^{[2
]}

机构：

[1] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India

[2] Islamic Azad Univ, Dept Math, Sari Branch, Sari, Iran

[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[4] Rajiv Gandhi Univ, Dept Math, Rono Hills, Doimukh 791112, Arunachal Prade, India

[5] Cotton Univ, Dept Math, Gauhati 781001, Assam, India

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2021年 / 45卷 / 01期

关键词：

Hausdorff measure of noncompactness (Hausdorff MNC); Infinite system of singular integral equation; Meir-Keeler condensing operators; Modified homotopy; Iterative algorithm; HOMOTOPY PERTURBATION METHOD; DIFFERENTIAL-EQUATIONS; 2; VARIABLES; NONCOMPACTNESS; SOLVABILITY; THEOREM;

D O I：

10.1007/s40995-020-01037-5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this article, solvability of infinite system of nonlinear singular integral equations of two variables in Banach sequence spaces c(0) and l(1) is investigated. For this purpose, Hausdorff measure of noncompactness (in short, Hausdorff MNC) and Meir-Keeler condensing operators are employed. The guarantee of our results are given by some examples. Also to approach an approximation of semi-analytic solution, we introduce a coupled modified homotopy perturbation and Adomian decomposition method. Thus, an iterative algorithm is constructed to find the above solution. The numerical results show that the produced sequence to approximate the solution has a high accuracy.

引用

页码：235 / 245

页数：11

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