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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

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Cited by 2

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

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