ARTICLE
Application of a new approach to the Adomian method to the solution of fractional-order integro-differential equations
- Journal of Advances in Mathematics and Computer Science , 40 (5) : 28-47
Lien de l'article :
DOI: https://doi.org/10.9734/jamcs/2025/v40i51996
Discipline :
Mathématiques
Auteur(s) :
Traoré André , Bationo Jeremie Yiyureboula a and Francis Bassono
Auteur(s) tagués :
BASSONO Francis
Renseignée par : BASSONO Francis
Résumé
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.
Mots-clés
Volterra; fractional operators; integro- differential equations; fredholm