Title of article :
Solvability and numerical method for non-linear Volterra integral equations by using Petryshyn’s fixed point theorem
Author/Authors :
Deepa, Amar PDPM-IIITDM, Jabalpur, India , Kumar, Ashish Govt. PG college Bina, India , Abbas, Syed 3 IIT, Mandi, India , Rabbani, Mohsen Department of Mathematics - Islamic Azad University Sari Branch, Sari, Iran
Abstract :
In this paper, utilizing the technique of Petryshyn’s fixed point theorem in Banach algebra, we analyze the existence of solution for functional integral equations, which includes as special cases many functional integral equations that arise in various branches of non-linear analysis and its application. Finally, we introduce the numerical method formed by modified homotopy perturbation approach to resolving the problem with acceptable accuracy.
Keywords :
Fixed point theorem , Measure of non-compactness (MNC) , Banach algebra , Functional integral equation (FIE) , Modified Homotopy perturbation (MHP)
Journal title :
International Journal of Nonlinear Analysis and Applications
