New decay results for a viscoelastic-type Timoshenko system with infinite memory

AM Al-Mahdi, MM Al-Gharabli, A Guesmia… - … Mathematik und Physik, 2021 - Springer
This paper is concerned with the following memory-type Timoshenko system ρ 1 φ tt-K (φ x+
ψ) x= 0, ρ 2 ψ tt-b ψ xx+ K (φ x+ ψ)+∫ 0+∞ g (s) ψ xx (ts) ds= 0, with Dirichlet boundary …

Existence and new general decay results for a viscoelastic Timoshenko system

JH Hassan, SA Messaoudi, M Zahri - Zeitschrift für Analysis und ihre …, 2020 - ems.press
In this paper, we are concerned with a memory-type Timoshenko system with Dirichlet
boundary conditions and a very general class of relaxation functions. We prove the …

New general decay results for a Moore–Gibson–Thompson equation with memory

W Liu, Z Chen, D Chen - Applicable Analysis, 2020 - Taylor & Francis
In this paper, we consider the Moore–Gibson–Thompson equation with a memory term in
the subcritical case, which arises in high-frequency ultrasound applications accounting for …

[HTML][HTML] Analysis of the thermoviscoelastic Timoshenko system with diffusion effect

M Elhindi, TEL Arwadi - Partial Differential Equations in Applied …, 2021 - Elsevier
This paper is concerned with a new Timoshenko beam model with thermal, mass diffusion
and viscoelastic effects. First, by the C0-semigroup theory, we prove the well posedness of …

[PDF][PDF] New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory

W Liu, Z Chen, Z Tu - Electronic Research Archive, 2020 - aimspress.com
Thompson equation with memory recently introduced by (Milan J. Math. 2017, 85: 215-234)
that proposed the fourth-order model. We discuss the well-posedness of the solution by …

The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency

DS Almeida Júnior, B Feng, M Afilal… - Zeitschrift für angewandte …, 2021 - Springer
The stabilization properties of dissipative Timoshenko systems have been attracted the
attention and efforts of researchers over the years. In the past 20 years, the studies in this …

On a Singular Non local Fractional System Describing a Generalized Timoshenko System with Two Frictional Damping Terms

S Mesloub, RK Alhefthi - Fractal and Fractional, 2023 - mdpi.com
This paper concerns a nonhomogeneous singular fractional order system, with two frictional
damping terms. This system can be considered as a generalization of the so-called …

Adaptive stabilization of a Timoshenko system by boundary feedback controls

JH Hassan, N Tatar - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
In this work, we investigate the global existence and boundary adaptive stabilization of an
undamped Timoshenko beam equation subject to two control inputs at the right end. High …

[PDF][PDF] Long-time behavior for a nonlinear Timoshenko system: Thermal damping versus weak damping of variable-exponents type

AM Al-Mahdi - AIMS Mathematics, 2023 - aimspress.com
In this work, we consider a nonlinear thermoelastic Timoshenko system with a
timedependent coefficient where the heat conduction is given by Coleman-Gurtin [1] …

On long-time behavior of Moore-Gibson-Thompson equation with localized and degenerate memory effect

H Zhang - Zeitschrift für angewandte Mathematik und Physik, 2021 - Springer
This paper is concerned with the long-time behavior of Moore-Gibson-Thompson equation
with degenerate memory effect, given by τ u_ ttt+ α (x) u_ tt-b Δ u_t-c^ 2 Δ u+ ∫\limits _0^ tg …