Work

Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions

Year: 2024

Type: article

Abstract: 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.

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01959-8

Authors: Abdelbaki Choucha, Salah Boulaaras, Rashid Jan, Ahmed Himadan Ahmed

Institutions: University of Ghardaia, Amar Telidji University of Laghouat, Qassim University, Near East University, Universiti Tenaga Nasional

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

OpenAlex ID: W4403947300

FWCI: 0.32

Cites: 41

Cited by: 2

Related to: 10