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 …
Delayed analogue of three‐parameter Mittag‐Leffler functions and their applications to Caputo‐type fractional time delay differential equations
IT Huseynov, NI Mahmudov - Mathematical Methods in the …, 2020 - Wiley Online Library
In this paper, we consider a Cauchy problem for a Caputo‐type time delay linear system of
fractional differential equations with permutable matrices. First, we provide a new …
fractional differential equations with permutable matrices. First, we provide a new …
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 …
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 …
Null controllability results for stochastic delay systems with delayed perturbation of matrices
T Sathiyaraj, M Fečkan, JR Wang - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, we adopt a notation of delayed perturbation of matrices to study controllability
of stochastic delay systems in finite dimensional spaces. By using the delayed perturbation …
of stochastic delay systems in finite dimensional spaces. By using the delayed perturbation …
[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 …
Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution
T Sathiyaraj, JR Wang, D O'Regan - Proceedings of the Royal …, 2021 - cambridge.org
In this paper, we study the controllability of second-order nonlinear stochastic delay systems
driven by the Rosenblatt distributions in finite dimensional spaces. A set of sufficient …
driven by the Rosenblatt distributions in finite dimensional spaces. A set of sufficient …
Finite‐time stability of a class of oscillating systems with two delays
In this paper, we study finite‐time stability of an oscillating system with 2 delays. To derive a
bounded of state vector, we use a representation of explicit solution involving 2‐delayed …
bounded of state vector, we use a representation of explicit solution involving 2‐delayed …