Study exponential and polynomial stability of Timoshenko beam with boundary dissipative conditions of fractional derivative type

被引：0
|
作者：
Messikh, C. [1 ]
Labidi, S. [1 ]
机构：
[1] Badji Mokhtar Univ, Dept Math, BP 12, Annaba 23000, Algeria
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 01期
关键词：
35R11; 35B40; 35C20; 35A01; 93D15; 47B44; WAVE-EQUATION; DECAY; RATES;
D O I：
10.1007/s12215-021-00711-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the Timoshenko beam with only one dynamic control boundary condition of fractional derivative type. We show that the system is not uniformly stable by a spectrum method but it is polynomial stable using the frequency domain approach and Borichev and Tomilov's result. These results improve some recent results in the literature.
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页码：673 / 706
页数：34
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