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.
Highlights
Introduction and auxiliary factsIntegral equation is an essential branch of sciences that it has applications in engineering sciences, physical sciences, etc
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
To validity of the theorems and homotopy perturbation method (HPM), as a technical solution, they are applied on some nonlinear singular integral equations
Summary
Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it Mohsen Rabbani1 Reza Arab. This article is published with open access at Springerlink.com
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