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
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
