ARTICLE
Exponential stability for coupled Lameé system with a fractional derivative time Delay.
- Discussiones Mathematicae. Differential Inclusions, Control and Optimization , 43 (2) : 93-119
Lien de l'article :
https://doi.org/10.7151/dmdico.1243
Discipline :
Mathématiques
Auteur(s) :
Noureddine Taouaf, Akram Ben Aissa et Gilbert Bayili
Auteur(s) tagués :
BAYILI Gilbert
Renseignée par : BAYILI Gilbert
Résumé
We develop a detailed analysis for a coupled Lamé system with fractional time delay. We show by using a semigroup approach and the well-known Dafermos auxiliary variable, that the system is well-posed. Moreover, we analyze stability issue for the considered system. Namely, under a suitable choice of Lyapunov functional, exponential decay of the whole energy holds.
Mots-clés
wave equation, coupled system, Lyapunov function