[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 …
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 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 …
Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations
JR Wang, Y Zhang - Optimization, 2014 - Taylor & Francis
In this paper, we first prove two existence and uniqueness results for fractional-order delay
differential equation with respect to Chebyshev and Bielecki norms. Secondly, we prove the …
differential equation with respect to Chebyshev and Bielecki norms. Secondly, we prove the …
[HTML][HTML] Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse
In this letter we propose a class of linear fractional difference equations with discrete-time
delay and impulse effects. The exact solutions are obtained by use of a discrete Mittag …
delay and impulse effects. The exact solutions are obtained by use of a discrete Mittag …
[HTML][HTML] Analytical and numerical methods for the stability analysis of linear fractional delay differential equations
E Kaslik, S Sivasundaram - Journal of Computational and Applied …, 2012 - Elsevier
In this paper, several analytical and numerical approaches are presented for the stability
analysis of linear fractional-order delay differential equations. The main focus of interest is …
analysis of linear fractional-order delay differential equations. The main focus of interest is …
Mittag‐Leffler Stability Theorem for Fractional Nonlinear Systems with Delay
Fractional calculus started to play an important role for analysis of the evolution of the
nonlinear dynamical systems which are important in various branches of science and …
nonlinear dynamical systems which are important in various branches of science and …
Lyapunov method for nonlinear fractional differential systems with delay
Y Wen, XF Zhou, Z Zhang, S Liu - Nonlinear dynamics, 2015 - Springer
This paper deals with the stability of nonlinear fractional differential systems with delay.
Based on the Lyapunov functional method and the Lyapunov function method, respectively …
Based on the Lyapunov functional method and the Lyapunov function method, respectively …
Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion
This study investigates finite-time stability of Caputo delta fractional difference equations. A
generalized Gronwall inequality is given on a finite time domain. A finite-time stability …
generalized Gronwall inequality is given on a finite time domain. A finite-time stability …
Stability analysis of linear fractional differential system with multiple time delays
In this paper, we study the stability of n-dimensional linear fractional differential equation
with time delays, where the delay matrix is defined in (R+) n× n. By using the Laplace …
with time delays, where the delay matrix is defined in (R+) n× n. By using the Laplace …