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
Pages
28
From page
1
To page
28
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
Serial Year
2022
Record number
2711115
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