ARTICLE
SOLVING THE STANDARD TELEGRAPH EQUATION WITH A FRACTIONAL-ORDER DERIVATIVE TERM USING THE LAPLACE-ADOMIAN METHOD
- Far East Journal of Mathematical Sciences (FJMS) , 142 (3) : 455-468
Lien de l'article :
https://doi.org/10.17654/0972087125025
Discipline :
Mathématiques
Auteur(s) :
MINOUNGOU Youssouf, BAGAYOGO Moussa, NEBIE Abdoul Wassiha, PARE Youssouf
Auteur(s) tagués :
NEBIE Abdoul Wassiha
PARE Yousssouf
Renseignée par : BAGAYOGO Moussa
Résumé
In this article, we study the solution of the standard telegraph equation with a fractional derivative term by the Laplace-Adomian method. For this purpose, we establish the convergence of the Laplace-Adomian algorithm applied to the solution of the standard telegraph equation with a fractional-order derivative term, and propose the solution of some models.
Mots-clés
telegraph equation, Laplace transform, Mittag Leffler function, Laplace-Adomian method.