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 …

[HTML][HTML] Composite learning sliding mode synchronization of chaotic fractional-order neural networks

Z Han, S Li, H Liu - Journal of Advanced Research, 2020 - Elsevier
In this work, a sliding mode control (SMC) method and a composite learning SMC (CLSMC)
method are proposed to solve the synchronization problem of chaotic fractional-order neural …

Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks

C Xu, M Liao, P Li, S Yuan - Chaos, Solitons & Fractals, 2021 - Elsevier
During the past decades, integer-order complex-valued neural networks have attracted
great attention since they have been widely applied in in many fields of engineering …

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

F Du, JG Lu - Fuzzy Sets and Systems, 2022 - Elsevier
The finite-time stability of fractional-order fuzzy cellular neural networks with time delays is
investigated. One of the difficulties in stability analysis of fractional-order delayed systems …

Finite-time stability of neutral fractional order time delay systems with Lipschitz nonlinearities

F Du, JG Lu - Applied Mathematics and Computation, 2020 - Elsevier
This paper is concerned with finite-time stability of neutral fractional order time delay
systems with Lipschitz nonlinearities. By use of the method of steps and the generalized …

Influence of multiple time delays on bifurcation of fractional-order neural networks

C Xu, M Liao, P Li, Y Guo, Q Xiao, S Yuan - Applied Mathematics and …, 2019 - Elsevier
In this article, on the basis of predecessors, works, we will propose a new fractional-order
neural network model with multiple delays. Letting two different delays be bifurcation …

Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

K Liu, JR Wang, D O'Regan - Advances in Difference Equations, 2019 - Springer
In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-
Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations …

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 …

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 …

Delay-dependent and order-dependent stability and stabilization of fractional-order linear systems with time-varying delay

L Chen, R Wu, Y Cheng… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Stability of fractional-order (FO) delayed systems remains a formidable problem. In this brief,
asymptotic stability and stabilization of FO linear systems with time-varying structured …