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
收藏
页码：87 / 94
页数：8
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