Well-posedness and asymptotic behavior of Timoshenko beam system with dynamic boundary dissipative feedback of fractional derivative type

DOI10.1007/s00033-017-0836-2zbMath1386.93230OpenAlexW2742147347MaRDI QIDQ1684447

Sohbi Benazzouz, Abbes Benaissa

Publication date: 8 December 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0836-2

zbMATH Keywords

polynomial stabilitydynamic boundary dissipation of fractional derivative typeTimoshenko beam system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Groups and semigroups of linear operators (47D03) Linear constitutive equations for materials with memory (74D05)

Related Items (7)

Polynomial decay for the Timoshenko system with dynamical boundary conditions ⋮ Study exponential and polynomial stability of Timoshenko beam with boundary dissipative conditions of fractional derivative type ⋮ Boundary control of dual Timoshenko arms for grasping and orientation control ⋮ On the decay rate for the wave equation with viscoelastic boundary damping ⋮ Stability results for a Timoshenko system with a fractional operator in the memory ⋮ The influence of the coefficients of a system of wave equations coupled by velocities on its stabilization ⋮ A transmission problem for the Timoshenko system with one local Kelvin-Voigt damping and non-smooth coefficient at the interface

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