ARTICLE
THE SOME BLAISE ABBO (SBA) PLUS METHOD APPLIED TO FRACTIONAL NONLINEAR TIME SCHRÖDINGER EQUATIONS IN DIMENSION or IN THE SENSE OF CAPUTO
- Advances in Differential Equations and Control Processes , 31 : 357-377
Lien de l'article :
https://doi.org/10.17654/0974324324020
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Oumar MADAI, Germain KABORE, Bakari Abbo, Ousséni SO, Blaise Somé
Auteur(s) tagués :
SO Ousséni
Renseignée par : SO Ousséni
Résumé
In this paper, we have solved some time fractional Schrödinger equations of order $\alpha$ with $0<\alpha \leq 1$ in dimension $1, 2$ or $3$ in the sense of Caputo by the SBA plus method. This method is based on two principles (successive approximations, and Picard) and the Adomian method. Secondly, it uses a process of rapid convergence in the functional space of the problem posed towards the exact solution, if it exists.
Mots-clés
time-fractional Schrödinger equation, Caputo fractional derivative, nonlinear fractional differential equations, Adomian decomposition method, Picard iteration, successive approximations, exact solutions