Title of article
Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it
Author/Authors
Rabbani, Mohsen Department of Mathematics - Sari Branch - Islamic Azad University, Sari, Iran , Arab, Reza Department of Mathematics - Sari Branch - Islamic Azad University, Sari, Iran
Pages
8
From page
87
To page
94
Abstract
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.
Keywords
Measure of non-compactness , Integral equation , Homotopy perturbation
Journal title
Mathematical Sciences
Serial Year
2017
Record number
2509165
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