Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions
This study is concerned with a nonlinear viscoelastic wave equation with logarithmic source term. By considering the nonlinear distributed delay feedback influenced by acoustic and fractional boundary conditions at the boundary coupling, we establish the global existence and general decay results under appropriate assumptions, even in the case of a general kernel. This result extends and complements some previous results.
Authors
- Abdelbaki Choucha (ORCID: https://orcid.org/0000-0002-0969-8519)
- Ahmed Himadan (ORCID: https://orcid.org/0000-0002-2432-0565)
- Rashid Jan (ORCID: https://orcid.org/0000-0001-9709-7045)
- Salah Boulaaras (ORCID: https://orcid.org/0000-0003-1308-2159)
Institutions
- Qassim University (SA)
- University of Ghardaia (DZ)
- Amar Telidji University of Laghouat (DZ)
- Near East University (CY)
- Universiti Tenaga Nasional (MY)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2024-10-31
- DOI
- https://doi.org/10.1186/s13661-024-01959-8
- Citations
- 2
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.66