Some results on finite-time stability of stochastic fractional-order delay differential equations
D Luo, M Tian, Q Zhu - Chaos, Solitons & Fractals, 2022 - Elsevier
Finite-time stability of stochastic fractional-order delay differential equations is researched
here. Firstly, we derive the equivalent form of the considered system by using the Laplace …
here. Firstly, we derive the equivalent form of the considered system by using the Laplace …
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 …
Approximation methods for solving fractional equations
SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …
fractional equations, which are divided into the fractional differential equations (FDEs), time …
New criteria on finite-time stability of fractional-order Hopfield neural networks with time delays
F Du, JG Lu - IEEE Transactions on Neural Networks and …, 2020 - ieeexplore.ieee.org
In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with
time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of …
time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of …
Discrete fractional calculus for interval–valued systems
LL Huang, GC Wu, D Baleanu, HY Wang - Fuzzy Sets and Systems, 2021 - Elsevier
This study investigates linear fractional difference equations with respect to interval–valued
functions. Caputo and Riemann–Liouville differences are defined. w–monotonicity is …
functions. Caputo and Riemann–Liouville differences are defined. w–monotonicity is …
[HTML][HTML] Stability Results and Parametric Delayed Mittag–Leffler Matrices in Symmetric Fuzzy–Random Spaces with Application
D O'Regan, SR Aderyani, R Saadati, C Li - Symmetry, 2023 - mdpi.com
We introduce a matrix-valued fractional delay differential system in diverse cases and
present Fox type stability results with applications of aggregated special functions. In …
present Fox type stability results with applications of aggregated special functions. In …
Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations
JR Wang, K Shah, A Ali - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution
equations - Wang - 2018 - Mathematical Methods in the Applied Sciences - Wiley Online …
equations - Wang - 2018 - Mathematical Methods in the Applied Sciences - Wiley Online …
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 …
A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
M Dehghan, M Abbaszadeh - Mathematical Methods in the …, 2018 - Wiley Online Library
The main purpose of the current paper is to propose a new numerical scheme based on the
spectral element procedure for simulating the neutral delay distributed‐order fractional …
spectral element procedure for simulating the neutral delay distributed‐order fractional …
Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion
GC Wu, D Baleanu, SD Zeng - Communications in Nonlinear Science and …, 2018 - Elsevier
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 …