Introduction to Timoshenko System

A Timoshenko system of a fractional order between zero and one is investigated here.

We address a Timoshenko system with memory in the history context and thermoelasticity of type III for heat conduction.

In this paper, we study a Timoshenko system only with thermodiffusion effects.

In this paper, the Timoshenko system with distributed delay term, fractional operator in the memory and spatial fractional thermal effect is considered, we will prove under some assumptions the global existence of a weak solution.

We consider the dynamical one-dimensional Mindlin–Timoshenko system for beams.

In this paper, we study the indirect boundary stabilization of the Timoshenko system with only one dissipation law.

In the present work our main goal is to improve the polynomial decay obtained recently by Santos and Almeida (2017) for a Timoshenko system with type III thermoelasticity.

Consequently, the Timoshenko system is complemented by an ordinary differential equation describing the dynamic of the base to which the beam is attached to.

In this manuscript we prove the property of growth determined by spectrum of the linear operator associated with the Timoshenko system with two histories.

The Timoshenko, shear and Euler–Bernoulli models are investigated, with a focus on the numerical modelling for the Timoshenko system.

We study the asymptotic behavior of Timoshenko systems with a fractional operator in the memory term depending on a parameter $$\theta \in [0,1]$$θ∈[0,1] and acting only on one equation of the system.