In this paper, we introduce a concept of delayed two parameters Mittag-Leffler type matrix
function, which is an extension of the classical Mittag-Leffler matrix function. With the help of …

In this paper, we propose a delayed perturbation of Mittag‐Leffler type matrix function, which
is an extension of the classical Mittag‐Leffler type matrix function and delayed Mittag‐Leffler …

This paper presents the exact solutions of the homogeneous and the non-homogeneous
fractional delay oscillation equations with order α∈(1, 2). For non-homogeneous fractional …

Nonhomogeneous systems of linear fractional equations with pure delay and multiple
delays with linear parts given by permutable or nonpermutable matrices are considered …

Nonhomogeneous linear systems of second order differential equations with pure delay and
multiple delays are considered. Representations of their solutions without a commutativity …

In this paper, we introduce a multivariate determining function and propose a multi-delayed
perturbation of Mittag-Leffler type matrix function. It is an extension of the classical Mittag …

In this paper, we study the relative controllability of a fractional stochastic system with pure
delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for …

This paper derives a representation of a solution to the initial value problem for a linear
fractional delay differential equation with Riemann–Liouville derivative. We apply the …

In this paper, we consider an initial value problem for linear matrix coefficient systems of the
fractional-order neutral differential equations with two incommensurate constant delays in …

We introduce the fractional delayed matrix cosine and sine functions and use the variation of
constants method to obtain an explicit formula for a solution to the initial value problem for a …