Global existence and general decay for a nonlinear wave equation with acoustic and fractional boundary conditions coupling by source and delay terms

This work deal with global existence and general decay of solutions of a wave equation with acoustic and fractional boundary conditions coupling by source and delay terms. Under some hypotheses, we study the global existence of the solution and by suitable Lyapunov function the general decay result...

Full description

Saved in:
Bibliographic Details
Published in:Results in applied mathematics 2024-08, Vol.23, p.100476, Article 100476
Main Authors: Choucha, Abdelbaki, Boulaaras, Salah, Djafari-Rouhani, Behzad, Guefaifia, Rafik, Alharbi, Asma
Format: Article
Language:English
Subjects:
Delay
Fractional boundary dissipation
General decay
Global existence
Nonlinear equations
Source term
Wave equation
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This work deal with global existence and general decay of solutions of a wave equation with acoustic and fractional boundary conditions coupling by source and delay terms. Under some hypotheses, we study the global existence of the solution and by suitable Lyapunov function the general decay result is proved.
ISSN:2590-0374
2590-0374
DOI:10.1016/j.rinam.2024.100476