In this article, we show the existence and uniqueness of solution of Caputo–
Hadamardfractional stochastic differential equations (CHFSDE) via the Banach fixed point …

In this paper, we investigate the averaging principle for Caputo-type fractional stochastic
differential equations driven by Brownian motion. Different from the approach of integration …

In this paper, we first construct a Euler–Maruyama type scheme for Caputo stochastic
fractional differential equations (for short Caputo SFDE) of order α∈(1 2, 1) whose …

In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph
fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem …

This paper addresses existence and Ulam–Hyers stability (UHS) problems for an impulsive
Caputo–Hadamard fractional neutral functional stochastic differential equation with infinite …

In this article, a step-by-step collocation technique based on the Jacobi polynomials is
considered to solve a class of neutral delay fractional stochastic differential equations …

In this paper we first establish the existence, uniqueness and Hölder continuity of the
solution to stochastic Volterra integral equations (SVIEs) with weakly singular kernels, with …

We establish and prove a variation of constant formula for Caputo fractional stochastic
differential equations whose coefficients satisfy a standard Lipschitz condition. The main …

This paper studies a class of fractional stochastic delay differential equations driven by a
Wiener process. The sufficient conditions for the existence and uniqueness of the solution of …

In this paper, the fully discrete scheme is proposed based on the Simpson's quadrature
formula to approximate fractional-order integrals for noisy signals. This strategy is extended …