Asymptotic Behavior for a Viscoelastic Wave Equation With Acoustic and Fractional Conditions Combined by Nonlinear Time‐Varying Delay in Boundary Feedback in the Presence of Logarithmic Source Term
ABSTRACT This study examines a wave equation within the framework of nonlinear viscoelasticity. Specifically, it considers a nonlinear, time‐varying delay feedback acting on the boundary, coupled with acoustic and fractional boundary conditions, and influenced by a logarithmic source term. Under suitable general assumptions on the kernel, we first establish the global existence of solutions and subsequently analyze their asymptotic behavior.
Authors
- Abdelbaki Choucha (ORCID: https://orcid.org/0000-0002-0969-8519)
- Rashid Jan (ORCID: https://orcid.org/0000-0001-9709-7045)
- Salah Boulaaras (ORCID: https://orcid.org/0000-0003-1308-2159)
- Shilpi Jain (ORCID: https://orcid.org/0000-0002-0906-2801)
Institutions
- Qassim University (SA)
- University of Ghardaia (DZ)
- Poornima University (IN)
- Amar Telidji University of Laghouat (DZ)
- Near East University (CY)
- Universiti Tenaga Nasional (MY)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-01-22
- DOI
- https://doi.org/10.1002/mma.10687
- Citations
- 3
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 3.64