Asymptotic behavior of a viscoelastic wave equation with a delay in internal fractional feedback
From MaRDI portal
Publication:6577209
DOI10.24425/acs.2024.149665zbMath1543.93126MaRDI QIDQ6577209
Abderrahmane Zaraï, Adbelbaki Choucha, Radhouane Aounallah, Salah Mahmoud Boulaaras
Publication date: 23 July 2024
Published in: Archives of Control Sciences (Search for Journal in Brave)
global existencepartial differential equationsrelaxation functiongeneral decaydelay fractional feedback
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Viscoelastic fluids (76A10) Wave equation (35L05) Delay control/observation systems (93C43)
Cites Work
- Unnamed Item
- Exponential growth for wave equation with fractional boundary dissipation and boundary source term
- Stabilization of the wave equation with boundary or internal distributed delay.
- General decay of the solution energy in a viscoelastic equation with a nonlinear source
- On potential wells and vacuum isolating of solutions for semilinear wave equations
- Blow-up and asymptotic behavior for a wave equation with a time delay condition of fractional type
- Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity
- Global existence of solutions for the viscoelastic Kirchhoff equation with logarithmic source terms
- The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
- Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
- Biot-JKD model: simulation of 1D transient poroelastic waves with fractional derivatives
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices
- Wave Equation with Acoustic/Memory Boundary Conditions
- Asymptotic behaviour of the energy for electromagnetic systems with memory
- Global existence and decay for a system of two singular one-dimensional nonlinear viscoelastic equations with general source terms
- Stabilization of wave systems with input delay in the boundary control
- Asymptotic Decay for Some Differential Systems with Fading Memory
- Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
- Boundary Feedback Stabilization for an Unstable Time Fractional Reaction Diffusion Equation
- General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping
- Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized damping term
- Wave energy decay under fractional derivative controls
This page was built for publication: Asymptotic behavior of a viscoelastic wave equation with a delay in internal fractional feedback