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 firstly introduce a concept of delayed Mittag-Leffler type matrix function, an
extension of Mittag-Leffler matrix function for linear fractional ODEs, which help us to seek …

We introduce a matrix-valued fractional delay differential system in diverse cases and
present Fox type stability results with applications of aggregated special functions. In …

This paper is concerned with the relative controllability of fractional delay systems in control
for finite dimensional spaces. A notion of fractional delay Grammian matrix involving two …

In this paper, we study the controllability of a system governed by second order delay
differential equations. We introduce a delay Gramian matrix involving the delayed matrix …

This paper is about the conformable fractional delay equations. We offer a conformable
delay perturbation of matrix exponential function to give the representation of solutions for …

The purpose of this contribution is to develop a controllability method for linear discrete
systems with constant coefficients and with pure delay. To do this, a representation of …

This paper firstly deals with finite time stability (FTS) of Riemann‐Liouville fractional delay
differential equations via giving a series of properties of delayed matrix function of Mittag …

This paper gives a representation of a solution to the Cauchy problem for a fractional linear
system with pure delay. We introduce the fractional delayed matrices cosine and sine of a …

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 …