Work

Application of a New Approach to the Adomian Method to the Solution of Fractional-order Integro-differential Equations

Year: 2025

Type: article

Abstract: In this paper we solve fractional order integro-differential equations of Fredholm type and Volterra type. For the solution we use a new Adomian decompositional method.In the first part we give the basic notions on fractional operators, essential to our work. The second part is devoted to the description and convergence of the method. In the third part, the method has been used to solve fractional order integro-differential equations of Fredholm type and Volterra type. The last part is devoted to the conclusion and some bibliographical references.

Source: Journal of Advances in Mathematics and Computer Science

DOI: 10.9734/jamcs/2025/v40i51996

Authors: Traore Andre, Bationo Jeremie Yiyureboula, Francis Bassono

Institution: Université Joseph Ki-Zerbo

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409623898

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