The objective of this paper is to investigate the existence of mild solutions and optimal
controls for a class of fractional neutral stochastic differential equations (NSDEs) driven by …

In recent years, as detailed in several monographs, derivations of the fractional differential
equations and fractional integral equations are based on random functional or stochastic …

Environmental factors and random variation have strong effects on the dynamics of
biological and ecological systems. In this paper, we propose a stochastic delay differential …

Stochastic differential models provide an additional degree of realism compared to their
corresponding deterministic counterparts because of the randomness and stochasticity of …

In this paper, we establish sufficient conditions for exact null controllability of Sobolev type
stochastic differential equations with fractional Brownian motion and Poisson jumps in …

By using stochastic analysis, fractional analysis, compact semigroups and the Schauder
fixed-point theorem, we discuss the approximate boundary controllability of a nonlocal Hilfer …

The present manuscript investigates the action of the Hilfer fractional operator on the
dynamics of resistor–capacitor (RC) and certain resistor–inductor‐capacitor (RLC) electric …

This paper discusses the approximate controllability of Hilfer fractional stochastic differential
system involving non-instantaneous impulses with Rosenblatt process and Poisson jumps …

This manuscript investigates a class of impulsive Hilfer fractional stochastic differential
system driven by Rosenblatt process with index H∈(1 2, 1), which is a special case of a self …

The aim of this article is to consider a class of neutral Caputo fractional stochastic evolution
equations with infinite delay (INFSEEs) driven by fractional Brownian motion (fBm) and …