Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it

被引：37

作者：

Hazarika, Bipan ^{[1
,2
]}

Srivastava, H. M. ^{[3
,4
]}

Arab, Reza ^{[5
]}

Rabbani, Mohsen ^{[5
]}

机构：

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

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

[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[5] Islamic Azad Univ, Dept Math, Sari Branch, Sari 19318, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2018年 / 343卷

关键词：

Measure of noncompactness; Meir-Keeler condensing operator; System of integral equations; Homotopy perturbation method; DIFFERENTIAL-EQUATIONS; THEOREM; SOLVABILITY;

D O I：

10.1016/j.cam.2018.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove existence of solution for infinite system of nonlinear integral equations in the Banach spaces l(p), p > 1 with the help of a technique associated with measure of noncompactness and generalized Meir-Keeler fixed point theorem. We also provide some illustrative examples in support of our existence theorems. Finally, we introduce an iteration algorithm constructed by modified homotopy perturbation method to solve the above problem with high accuracy. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：341 / 352

页数：12

共 36 条

[21] Metric-like spaces to prove existence of solution for nonlinear quadratic integral equation and numerical method to solve it [J].