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

Maryati T.; Muñoz Rivera J.; Poblete V.; Vera O.

Keywords: Exponential stability; Fractional derivative; Interfacial slip; Laminated beam; Polynomial stability; Semigroup theory; Thermoelastic structure

Abstract

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.

Más información

Título según WOS: Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type
Título según SCOPUS: Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type
Título de la Revista: Applied Mathematics and Optimization
Volumen: 84
Número: 1
Editorial: Springer
Fecha de publicación: 2021
Página final: 102
Idioma: English
DOI:

10.1007/s00245-019-09639-1

Notas: ISI, SCOPUS