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

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.