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Ass. Lect. Mohamed Abdallah Abdel-Aty Ali :: Publications: |
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| Title: | 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: | |
| Full paper | Mohamed Abdallah Abdel-Aty Ali_JOCAAA-VOL-29-2021-ISSUE-1.pdf |
| 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 |
