In this article, we discuss the exact controllability of a fractional order differential system
involving Hilfer fractional (HF) derivative, state-dependent delay function and impulsive …

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 …

Linear and nonlinear fractional-delay systems are studied. As an application, we derive the
controllability and Hyers–Ulam stability results using the representation of solutions of these …

Nonhomogeneous systems governed by second-order linear differential equations with pure
delay are considered. As an application, the exact solutions of these systems and their …

Nonhomogeneous systems of fractional differential equations with pure delay are
considered. As an application, the representation of solutions of these systems and their …

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 work, we consider linear and nonlinear fractional stochastic delay systems driven by
the Rosenblatt process. With the aid of the delayed Mittag-Leffler matrix functions and the …

We introduce the delayed sine/cosine-type matrix function and use the Laplace transform
method to obtain a closed form solution to IVP for a second-order time-delayed linear system …

Under the effect of the Rosenblatt process, the well-posedness and Hyers–Ulam stability of
nonlinear fractional stochastic delay systems are considered. First, depending on fixed-point …

Under the effect of the Rosenblatt process, time-delay systems of nonlinear stochastic delay
differential equations are considered. Utilizing the delayed matrix functions and exact …