Exact Solution of Linear Volterra integro-differential Equation of First Kind Using Abaoub-Shkheam Transform

Abejela S. Shkheam, Ali E. Abaoub and Yousuf A. Huwaydi
Additional contact information
Abejela S. Shkheam: Mathematical Dept., Faculty of Science, Sabratha University, Sabratha, LIBYA
Ali E. Abaoub: Mathematical Dept., Faculty of Science, Sabratha University, Sabratha, LIBYA
Yousuf A. Huwaydi: Mathematical Dept., School of Basic Sciences, the Libyan Academy, Tripoli, LIBYA

International Journal of Research and Innovation in Applied Science, 2021, vol. 6, issue 11, 60-64

Abstract: We employ Abaoub – Shkheam transformation to solve linear Volterra integro-differential equation of the first kind, we considered the kernel of that equation is a deference type kernel. Moreover, we prove the existence and uniqueness of solutions of the equation under some conditions in the Banach space and fixed-point theory. Finally, some examples are included to demonstrate the validity and applicability of the proposed technique.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.rsisinternational.org/journals/ijrias/ ... 6-issue-11/60-64.pdf (application/pdf)
https://www.rsisinternational.org/virtual-library/ ... 051938702.1694191524 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bjf:journl:v:6:y:2021:i:11:p:60-64

Access Statistics for this article

International Journal of Research and Innovation in Applied Science is currently edited by Dr. Renu Malsaria

More articles in International Journal of Research and Innovation in Applied Science from International Journal of Research and Innovation in Applied Science (IJRIAS)
Bibliographic data for series maintained by Dr. Renu Malsaria ().