We herein report a new class of impulsive fractional stochastic differential systems driven by
mixed fractional Brownian motions with infinite delay and Hurst parameter H^∈(1/2, 1) …

In this work, we consider a new class of fractional stochastic differential equations driven by
the Rosenblatt process with non-instantaneous impulses. By employing the sectorial …

The existence, uniqueness, exponential stability with the trajectory (T-) controllability and
optimal control results for mild solutions to the fractional neutral stochastic differential system …

In this article, we study the stochastic fractional optimal control problem for a system
governed by a class of non-instantaneous impulsive stochastic fractional differential …

Fractional calculus plays an essential role in describing nonlinear phenomena appears in
applied sciences. In this article, we handle mainly the Korteweg-de Vries (KdV)-like equation …

This paper is devoted to exploring a new class of ψ-Hilfer fractional integro-differential
systems under the influence of impulses. Using semigroup theory, fixed-point technique, and …

The problem of approximate controllability is investigated in this paper for a class of
fractional stochastic differential equations driven by fractional Brownian motion with non …

In the present paper, we study a multi-term time-fractional stochastic differential equation
with multiple delays in control. We employ a general mild solution of the system, achieved by …

This manuscript deals with an epidemic model with partial immunity having nonlinear
incidence and saturated treatment. Positivity and boundedness of the solutions have been …

This paper is devoted to exploring a new class of Atangana–Baleanu fractional stochastic
differential systems driven by fractional Brownian motion with non-instantaneous impulsive …