scholarly journals Well-posedeness and energy decay of solutions to a bresse system with a boundary dissipation of fractional derivative type

2018 ◽  
Vol 23 (10) ◽  
pp. 4361-4395
Author(s):  
Abbes Benaissa ◽  
◽  
Abderrahmane Kasmi
Keyword(s):  
Fractional Derivative ◽  
Energy Decay ◽  
Bresse System ◽  
Decay Of Solutions ◽  
Derivative Type ◽  
Boundary Dissipation

scholarly journals Energy decay for a degeneratewave equation under fractional derivative controls

Filomat ◽  
2018 ◽  
Vol 32 (17) ◽  
pp. 6045-6072
Author(s):  
Abbes Benaissa ◽  
Chahira Aichi
Keyword(s):  
Wave Equation ◽  
Fractional Derivative ◽  
Boundary Control ◽  
Semigroup Theory ◽  
Energy Decay ◽  
Linear Operators ◽  
Polynomial Stability ◽  
One Dimensional ◽  
Spectrum Method ◽  
Derivative Type

In this article, we consider a one-dimensional degenerate wave equation with a boundary control condition of fractional derivative type. We show that the problem is not uniformly stable by a spectrum method and we study the polynomial stability using the semigroup theory of linear operators.

Stability for an Klein–Gordon equation type with a boundary dissipation of fractional derivative type

2021 ◽  
pp. 1-25
Author(s):  
Jaime Muñoz Rivera ◽  
Verónica Poblete ◽  
Octavio Vera
Keyword(s):  
Asymptotic Behavior ◽  
Fractional Derivative ◽  
Gordon Equation ◽  
Relativistic Equation ◽  
Derivative Type ◽  
Boundary Dissipation ◽  
Klein Gordon ◽  
Klein Gordon Equation

We consider an Klein–Gordon relativistic equation with a boundary dissipation of fractional derivative type. We study of stability of the system using semigroups theory and classical theorems over asymptotic behavior.

Sign in / Sign up

Export Citation Format

Share Document