Well-posedeness and energy decay of solutions to a Bresse system with a boundary dissipation of fractional derivative type
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Publication:1756886
DOI10.3934/DCDSB.2018168zbMath1405.93190OpenAlexW2805707754WikidataQ129628204 ScholiaQ129628204MaRDI QIDQ1756886
Abderrahmane Kasmi, Abbes Benaissa
Publication date: 27 December 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2018168
Fractional derivatives and integrals (26A33) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)
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Polynomial stabilization of non-smooth direct/indirect elastic/viscoelastic damping problem involving Bresse system ⋮ Energy Decay of Solutions to a Nondegenerate Wave Equation with a Fractional Boundary Control ⋮ New general decay results for a multi-dimensional Bresse system with viscoelastic boundary conditions ⋮ Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type ⋮ Optimal memory-type boundary control of the Bresse system ⋮ Study exponential and polynomial stability of Timoshenko beam with boundary dissipative conditions of fractional derivative type ⋮ Unnamed Item ⋮ Stabilization of 2-D Mindlin-Timoshenko plates with localized acoustic boundary feedback ⋮ On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis
Cites Work
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- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Optimal polynomial decay of functions and operator semigroups
- Energy decay rate of the thermoelastic Bresse system
- On the internal and boundary stabilization of Timoshenko beams
- Fractional order Volterra equations with applications to elasticity
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Asymptotic stability for Bresse systems
- Exponential stability for the Timoshenko system with two weak dampings
- Energy decay of solutions for Timoshenko beam with a weak non-linear dissipation
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- On the stabilization of the Timoshenko system by a weak nonlinear dissipation
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- On the Spectrum of C 0 -Semigroups
- Boundary Control of the Timoshenko Beam
- Tauberian Theorems and Stability of One-Parameter Semigroups
- Boundary fractional derivative control of the wave equation
- Wave energy decay under fractional derivative controls
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