Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution

被引：39

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：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 360卷

关键词：

Measure of noncompactness; Nonlinear functional integral equations; Simulation function; Darbo fixed point theorem; Modified homotopy perturbation; FIXED-POINT THEOREM; INFINITE SYSTEM; EXISTENCE; SPACES;

D O I：

10.1016/j.amc.2019.04.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to investigate the existence of solution for the nonlinear functional integral equations with the help of measure of noncompactness, simulation function and generalized Darbo fixed point theorem. Also we provided example for the applicability of obtained results to the theory of integral equations. Also we introduce an iteration algorithm by modified homotopy perturbation and Adomian decomposition method to find solution of the above problem with high accuracy. Finally we have a discussion about convergence and upper bound of error. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：131 / 146

页数：16

共 30 条

[1] On the solution of linear and nonlinear integral equation [J].