Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it

被引：19

作者：

Rabbani, Mohsen ^{[1
]}

Arab, Reza ^{[1
]}

机构：

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

来源：

MATHEMATICAL SCIENCES | 2017年 / 11卷 / 02期

关键词：

Measure of non-compactness; Integral equation; Homotopy perturbation;

D O I：

10.1007/s40096-017-0206-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of contraction via the measure of non-compactness on a Banach space is investigated by generalizing some results which have been previously discussed in literatures. Furthermore, to validity of the theorems and homotopy perturbation method (HPM), as a technical solution, they are applied on some nonlinear singular integral equations.

引用

页码：87 / 94

页数：8

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