On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis

DOI10.3934/dcdsb.2022090zbMath1500.74009OpenAlexW4285250248MaRDI QIDQ2083317

Toufik Bentrcia, Abdelaziz Mennouni

Publication date: 10 October 2022

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.2022090

zbMATH Keywords

convergencewell-posednessfinite difference schemedecay estimatediffusive representationgeneralized Caputo fractional derivativeviscoelastic Bresse system

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Finite difference methods applied to problems in solid mechanics (74S20) Applications of fractional calculus in solid mechanics (74S40)

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Cites Work

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• The optimal decay rate for a weak dissipative Bresse system
• The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
• Stability criterion to explicit finite difference applied to the Bresse system
• Uniform and weak stability of Bresse system with two infinite memories
• The decay rate for a fractional differential equation
• Stability to weak dissipative Bresse system
• Bresse system with indefinite damping
• On a boundary controller of fractional type
• The lack of exponential stability of the hybrid Bresse system
• Optimal polynomial decay of functions and operator semigroups
• Efficient solution of a wave equation with fractional-order dissipative terms
• Functional analysis, Sobolev spaces and partial differential equations
• Fractional order Volterra equations with applications to elasticity
• Modeling, analysis and control of dynamic elastic multi-link structures
• Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement
• Global existence and decay estimates for the solution of a nonlinear Bresse system
• Well-posedeness and energy decay of solutions to a Bresse system with a boundary dissipation of fractional derivative type
• Numerical exponential decay to dissipative Bresse system
• On the stability of the Bresse system with frictional damping
• Asymptotic stability of Bresse system with one infinite memory in the longitudinal displacements
• New general decay results in a finite-memory Bresse system
• Boundary stabilization of Bresse systems
• Decay rates for Bresse system with arbitrary nonlinear localized damping
• Characterization of polynomial decay rate for the solution of linear evolution equation
• Asymptotic stability of Webster-Lokshin equation
• Rates of decay to weak thermoelastic Bresse system
• Boundary stabilization of a Bresse-type system
• Survey of the stability of linear finite difference equations
• On the Spectrum of C 0 -Semigroups
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Diffusive representation of pseudo-differential time-operators
• Stability conditions to Bresse systems with indefinite memory dissipation
• On the exponential and polynomial stability for a linear Bresse system
• Asymptotic behavior to Bresse system with past history
• Theory and Numerical Approximations of Fractional Integrals and Derivatives
• Well‐posedness and energy decay of solutions to a wave equation with a general boundary control of diffusive type
• Stability and optimality of decay rate for a weakly dissipative Bresse system
• Exponential and polynomial stability of an elastic Bresse system with two locally distributed feedbacks
• Bresse system with infinite memories
• The Euler–Bernoulli beam equation with boundary dissipation of fractional derivative type
• Wave energy decay under fractional derivative controls
• Arched beams of Bresse type: observability and application in thermoelasticity

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