ARTICLE
EXISTENCE AND UNIQUENESS OF SOLUTION FOR THE ADVECTION-DIFFUSION EQUATION WITH A FRACTIONAL LAPLACIAN OPERATOR
- Asia Pacific Journal of Mathematics , 12 (36) : 1-11
Lien de l'article :
10.28924/APJM/12-36
Discipline :
Mathématiques
Auteur(s) :
MARTIN NITIEMA, THOMAS TINDANO, DAOUDA PARE
Auteur(s) tagués :
TINDANO Thomas
Renseignée par : TINDANO Thomas
Résumé
We consider an advection-diffusion problem involving a fractional Laplace operator of order
0 < s < 1. First, we give the preliminaries that will be used in the following to prove the existence of the
solution to the problem under consideration using Lions’ theorem. Finally, we show that this solution is
unique.
Mots-clés
fractional Laplace operator; fractional Riemann-Liouville derivatives; Lions’ theorem.