Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

Abdelkader Moumen,Abdelbaki Choucha,Sulima A Zubair,Khaled Zennir,Djamel Ouchenane

doi:10.1515/math-2021-0117

Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

Abdelkader Moumen, Abdelbaki Choucha + Show 3 more

https://doi.org/10.1515/math-2021-0117

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Journal: Open Mathematics	Publication Date: Dec 31, 2021
Citations: 1	License type: CC BY 4.0

Affiliation: Qassim University, University of Bahri, University of Guelma, Laboratoire de Mathématiques, University of Ha'il, University of Laghouat

#Distributed Delay Term #Timoshenko System + Show 8 more

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Abstract

Abstract This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q ( x , t ) q\left(x,t) . We proved an exponential stability result by using the energy method combined with Lyapunov functional.

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