Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type

被引：0
|
作者：
Tita Maryati
Jaime Muñoz Rivera
Verónica Poblete
Octavio Vera
机构：
[1] Islamic State University (UIN),Mathematics Education Department
[2] Universidad del Bío-Bío,Departamento de Matemáticas
[3] LNCC Petrópolis,Departamento de Matemáticas
[4] Universidad de Chile,undefined
来源：
Applied Mathematics & Optimization | 2021年 / 84卷
关键词：
Thermoelastic structure; Exponential stability; Polynomial stability; Laminated beam; Interfacial slip; Semigroup theory; Fractional derivative; 34B05; 34D05; 34H05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a laminated beams due interfacial slip with control boundary conditions of fractional derivative type. We show the existence and uniqueness of solutions. Furthermore, concerning the asymptotic behavior we show the lack of exponential stability and the polynomial decay rate of the corresponding semigroup by using the classic theorem of Borichev and Tomilov.
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页码：85 / 102
页数：17
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