| publication name | A new techniques applied to Volterra-Fredholm integral equations with discontinuous kernel |
|---|---|
| Authors | M. E. Nasr, M. A. Abdel-Aty |
| year | 2021 |
| keywords | Banach space, Volterra–Fredholm integral equation, Separation of variables method |
| journal | Journal of Computational Analysis and Applications |
| volume | 29 |
| issue | 1 |
| pages | 11-24 |
| publisher | COPYRIGHT 2021 EUDOXUS PRESS, LLC |
| Local/International | International |
| Paper Link | http://www.eudoxuspress.com/images/JOCAAA-VOL-29-2021-ISSUE-1.pdf#page=11 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The purpose of this paper is to establish the general solution of a Volterra–Fredholm integral equation with discontinuous kernel in a Banach space. Banach’s fixed point theorem is used to prove the existence and uniqueness of the solution. By using separation of variables method, the problem is reduced to a Volterra integral equations of the second kind with continuous kernel. Normality and continuity of the integral operator are also discussed