Skip to content
Research Article Open access CC BY 4.0

Exact Solutions of Second-order Fractional Fredholm Integro-differential Equations

Abdelhalim Ebaid, Ohoud A. Alshahrani

Asian Research Journal of Mathematics · pp. 31–38 · Published 10 Jan 2022

10.9734/arjom/2022/v18i130352

Abstract

The present paper analyzes the second-order fractional Fredholm integro-differential equations by means of the Caputo definition in the fractional calculus (FC). The exact solutions are obtained for two examples utilizing a direct solution method. Furthermore, it is shown that the present solutions in fractional forms reduce to the corresponding classical ones in the relevant literature, with integer derivatives, as special cases.

Fractional integral equations Fredholm integro-differential equations exact solution

Cited by 1

Solving linear fractional Fredholm integro-differential equations using linear programming method via different types of polynomials

Najwa Raheem Mustafa, Thekra Abd. Allatiff Ibrahem, Muna M. Mustafa · AIP Conference Proceedings · 2026

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

1

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.