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 …

The existence and uniqueness theorem of solutions provides an effective tool for the model
validation of both deterministic and stochastic equations. The objective of this paper is to …

This paper presents an averaging principle for fractional stochastic differential equations in
ℝ n with fractional order 0< α< 1. We obtain a time-averaged equation under suitable …

This paper presents an averaging principle for Caputo fractional stochastic differential
equations (FSDEs) driven by Brown motion. Under some assumptions, the solutions to …

In this paper, a class of Itô–Doob stochastic fractional differential equations (Itô–Doob
SFDEs) models are discussed. Using the time scale transformation method, we consider the …

The averaging principle for Caputo fractional stochastic differential equations has recently
attracted much attention. In this paper, we investigate the averaging principle for a type of …

In this article, we investigate a class of stochastic fractional differential equations (SFDEs)
with time-delays. Under some novel assumptions, we obtain an averaging principle for the …

In this letter, an averaging principle for Caputo-Hadamard fractional stochastic differential
equations is established. It is showed the solution of the Caputo-Hadamard fractional …

In this paper, we investigate a class of stochastic Hilfer-type fractional differential equations
(SHFDEs) involving non-Lipschitz coefficients. With the aid of the Laplace transform and its …

This paper considers the nonlinear stochastic fractional integro-differential equations
(SFIDEs) under the non-Lipschitz conditions, which are general and include many stochastic …