During the past few decades, several significant progresses have been made in exploring
complex nonlinear dynamics and vibration suppression of conceptual aeroelastic airfoil …

Experimental data is often corrupted by measurement noise in practical engineering and
there are multiple observed data under the same experimental condition. The noisy …

In this paper, an averaging principle for multidimensional, time dependent, stochastic
differential equations (SDEs) driven by fractional Brownian motion and standard Brownian …

In this paper, we study distribution dependent stochastic differential equations driven
simultaneously by fractional Brownian motion with Hurst index H> 1 2 and standard …

In this paper, we are concerned with the stochastic averaging principle for stochastic
differential equations (SDEs) with non-Lipschitz coefficients driven by fractional Brownian …

This paper is devoted to studying the averaging principle for a fast-slow system of rough
differential equations driven by mixed fractional Brownian rough path. The fast component is …

This article deals with averaging principle for stochastic hyperbolic–parabolic equations with
slow and fast time-scales. Under suitable conditions, the existence of an averaging equation …

This article focuses on deriving the averaging principle for Hilfer fractional stochastic
evolution equations (HFSEEs) driven by Lévy noise. We show that the solutions of the …

The stochastic resonance phenomenon induced by Lévy noise in a second-order and under-
damped bistable system is investigated. The signal-to-noise ratio for different parameters is …

In this paper, we are concerned with the approximation theorem as an averaging principle
for the solutions to stochastic fractional differential equations of Itô–Doob type with non …