Détails Publication
Numerical solution of some wave equations with non-local edge conditions of fractional order in the sense of Caputo by the SOME BLAISE ABBO method (SBA),
Lien de l'article: http://www.ijaamm.com/uploads/2/1/4/8/21481830/v12n3p4_92-98.pdf
Discipline: Mathématiques
Auteur(s): Oumar MADAI, BAGAYOGO Moussa, Bakari ABBO,
Auteur(s) tagués:
Renseignée par : BAGAYOGO Moussa
Résumé
In this paper, we are interested in solving some one-dimensional wave equations of fractional order β with 1<β≤2 in the Caputo sense by the SBA method.
The SBA method is based on a combination of the Adomian decomposition method, Picard’s principle and the method of successive approximations. This method uses a process that converges rapidly to the exact solution when it exists in a functional space of the problem posed.
Mots-clés
SOME BLAISE ABBO (SBA), Fractional functional equations, Caputo derivative, Riemann-Liouville integral, Non-local edge conditions, Partial differential equations