Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
M Li, JR Wang - Applied Mathematics and Computation, 2018 - Elsevier
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 …
function, which is an extension of the classical Mittag-Leffler matrix function. With the help of …
Relative controllability of fractional delay differential equations via delayed perturbation of Mittag-Leffler functions
Z You, M Fečkan, JR Wang - Journal of Computational and Applied …, 2020 - Elsevier
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 …
for finite dimensional spaces. A notion of fractional delay Grammian matrix involving two …
[PDF][PDF] Controllability of nonlinear delay oscillating systems
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 …
differential equations. We introduce a delay Gramian matrix involving the delayed matrix …
Representation of solutions of nonhomogeneous conformable fractional delay differential equations
NI Mahmudov, M Aydın - Chaos, Solitons & Fractals, 2021 - Elsevier
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 …
delay perturbation of matrix exponential function to give the representation of solutions for …
Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations
M Li, JR Wang - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
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 …
differential equations via giving a series of properties of delayed matrix function of Mittag …
Relative controllability in fractional differential equations with pure delay
In this paper, we study relative controllability of fractional differential equations with pure
delay. Delayed Gram‐type matrix criterion and rank criterion for relative controllability are …
delay. Delayed Gram‐type matrix criterion and rank criterion for relative controllability are …
[HTML][HTML] Representation of a solution for a fractional linear system with pure delay
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 …
system with pure delay. We introduce the fractional delayed matrices cosine and sine of a …
Multi-delayed perturbation of Mittag-Leffler type matrix functions
NI Mahmudov - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
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 …
perturbation of Mittag-Leffler type matrix function. It is an extension of the classical Mittag …
Relative controllability of a stochastic system using fractional delayed sine and cosine matrices
JR Wang, T Sathiyaraj, D O'Regan - Nonlinear Analysis: Modelling …, 2021 - zurnalai.vu.lt
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 …
delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for …
Relative controllability of semilinear delay differential systems with linear parts defined by permutable matrices
This paper is devoted to analysis of relative controllability of semilinear delay differential
systems with linear parts defined by permutable matrices. By introducing a notion of delay …
systems with linear parts defined by permutable matrices. By introducing a notion of delay …