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 …

In this paper, our main purpose is to study a class of fractional stochastic delay differential
equations (FSDDEs) of order κ∈(1, 2]. Firstly, we present a concept of delay Grammian …

The creation of an explicit finite difference scheme with the express purpose of resolving
initial boundary value issues with linear and semi-linear variable-order temporal fractional …

In this paper, our main purpose is to study a class of higher-order fractional stochastic delay
differential equations (FSDDEs). We first define a more generalized delay Grammian matrix …

In this manuscript, we study the averaging principle for a class of neutral fractional stochastic
differential equations. Firstly, the existence and uniqueness of solution are discussed by …

Hilfer fractional stochastic differential equations with delay are discussed in this paper.
Firstly, the solutions to the corresponding equations are given using the Laplace …

Inequalities serve as fundamental tools for analyzing various important concepts in
stochastic differential problems. In this study, we present results on the existence …

In this paper, a class of second-order neutral impulsive stochastic evolution equations with
infinite delay driven by fractional Brownian motion and Poisson jumps is considered. We …

This paper is devoted to analyzing a kind of fractional stochastic neutral system (FSNS).
Firstly, by introducing the notion of newly defined two‐parameter Mittag–Leffler matrix …

In this paper, we mainly explore the averaging principle of Caputo-type fractional delay
stochastic differential equations with Brownian motion. Firstly, the solutions of this …