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 un...

Full description

Saved in:
Bibliographic Details
Main Authors: Choucha A., Boulaaras S., Jan R., Ahmed A.H.
Other Authors: 57216493937
Format: Article
Published: Springer Science and Business Media Deutschland GmbH 2025
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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. ? The Author(s) 2024.