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 …
[HTML][HTML] Finite time stability of fractional delay differential equations
M Li, JR Wang - Applied Mathematics Letters, 2017 - Elsevier
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 …
extension of Mittag-Leffler matrix function for linear fractional ODEs, which help us to seek …
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 …
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 …
[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 …
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 …
[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 …
[PDF][PDF] Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices
J Diblík, M Fečkan, M Pospišil - Ukrains' kyi Matematychnyi …, 2013 - umj.imath.kiev.ua
REPRESENTATION OF A SOLUTION OF THE CAUCHY PROBLEM FOR AN OSCILLATING
SYSTEM WITH TWO DELAYS AND PERMUTABLE MATRICES ЗОБРА Page 1 UDC 517.9 J …
SYSTEM WITH TWO DELAYS AND PERMUTABLE MATRICES ЗОБРА Page 1 UDC 517.9 J …
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 …
Sufficient conditions for the asymptotic stability of nonlinear multidelay differential equations with linear parts defined by pairwise permutable matrices
M Medved, M Pospišil - Nonlinear Analysis: Theory, Methods & …, 2012 - Elsevier
In this paper a generalization of the delayed exponential defined by Khusainov and Shuklin
(2003)[1] for autonomous linear delay systems with one delay defined by permutable …
(2003)[1] for autonomous linear delay systems with one delay defined by permutable …