Stochastic stability of a fractional viscoelastic plate driven by non-Gaussian colored noise

In this paper, the moment Lyapunov exponent and stochastic stability of a fractional viscoelastic plate driven by non-Gaussian colored noise is investigated. Firstly, dynamic equations with two degrees freedom are established piston theory Galerkin approximate method. The Kelvin–Voigt constitutive relation used to describe material properties plate, which leads that derivation term introduced into equations. And simplified an Ornstein–Uhlenbeck process utilizing path-integral Then, via singular perturbation method, expansions obtained, agree well results obtained Monte Carlo simulations. Finally, effects noise, parameters system on dynamics discussed.