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 …
Existence results and Ulam type stability for conformable fractional oscillating system with pure delay
M Li, JR Wang - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, we firstly introduce a concept of conformable fractional delayed type matrix
Cosine and Sine functions, which help us to construct an exact expression of a solution for …
Cosine and Sine functions, which help us to construct an exact expression of a solution for …
Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations
NI Mahmudov - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
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 …
is an extension of the classical Mittag‐Leffler type matrix function and delayed Mittag‐Leffler …
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 …
Representation of solutions for linear fractional systems with pure delay and multiple delays
AM Elshenhab, XT Wang - Mathematical Methods in the …, 2021 - Wiley Online Library
Nonhomogeneous systems of linear fractional equations with pure delay and multiple
delays with linear parts given by permutable or nonpermutable matrices are considered …
delays with linear parts given by permutable or nonpermutable matrices are considered …
Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices
AM Elshenhab, XT Wang - Applied Mathematics and Computation, 2021 - Elsevier
Nonhomogeneous linear systems of second order differential equations with pure delay and
multiple delays are considered. Representations of their solutions without a commutativity …
multiple delays are considered. Representations of their solutions without a commutativity …
[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 discrete delayed system x (k+ 1)= Ax (k)+ Bx (k− m)+ f (k) with commutative matrices
J Diblík, DY Khusainov - Journal of Mathematical Analysis and Applications, 2006 - Elsevier
In the investigation performed we give, on half-infinity discrete intervals, formulas for solution
of initial problem of linear discrete systems x (k+ 1)= Ax (k)+ Bx (k− m)+ f (k) with constant …
of initial problem of linear discrete systems x (k+ 1)= Ax (k)+ Bx (k− m)+ f (k) with constant …