[HTML][HTML] Artificial neural networks: a practical review of applications involving fractional calculus

E Viera-Martin, JF Gómez-Aguilar… - The European Physical …, 2022 - Springer
In this work, a bibliographic analysis on artificial neural networks (ANNs) using fractional
calculus (FC) theory has been developed to summarize the main features and applications …

Adaptive quaternion projective synchronization of fractional order delayed neural networks in quaternion field

W Zhang, C Sha, J Cao, G Wang, Y Wang - Applied Mathematics and …, 2021 - Elsevier
This paper focuses on investigating quaternion projective synchronization of the fractional
order delayed quaternion valued neural networks (FODQVNN). By applying Lyapunov direct …

Finite time synchronization of delayed quaternion valued neural networks with fractional order

W Zhang, H Zhao, C Sha, Y Wang - Neural Processing Letters, 2021 - Springer
In this article, the finite time (FT) synchronization problem of fractional order quaternion
valued neural networks with time delay is investigated. Without separating the quaternion …

Adaptive impulsive synchronization for fractional-order quaternion-valued neural networks with different structures and unknown parameters

X Zhang, D He - Journal of Vibration and Control, 2024 - journals.sagepub.com
The synchronization issue between fractional-order quaternion-valued neural networks with
different structures is more common than that with the same structure in the real world. This …

Stability and Hopf bifurcation analysis of a delayed tobacco smoking model containing snuffing class

Z Zhang, J Zou, RK Upadhyay, A Pratap - Advances in Difference …, 2020 - Springer
This paper is concerned with a delayed tobacco smoking model containing users in the form
of snuffing. Its dynamics is studied in terms of local stability and Hopf bifurcation by …

Delay-dependent and order-dependent stability and stabilization analysis of variable fractional order uncertain differential systems with time-varying delay via linear …

C Wang, X Zhou, X Shi, Y ** - Journal of Vibration and …, 2023 - journals.sagepub.com
This paper concentrates on the robust stability and stabilization analysis of variable
fractional order uncertain differential systems with time-varying delay. Firstly, by using a …

Stability Analysis of Two Kinds of Fractional-Order Neural Networks Based on Lyapunov Method

X Chang, Q **ao, Y Zhu, J **ao - IEEE Access, 2021 - ieeexplore.ieee.org
At present, the theory and application of fractional-order neural networks remain in the
exploratory stage. We study the asymptotic stability of fractional-order neural networks with …

Projective Synchronization of Fractional Quaternion Neural Networks With Time-Varying Delays

LI Chunmei, Y Xujun, WU **ang - 应用数学和力学, 2023 - applmathmech.cn
The projective synchronization of fractional quaternion neural networks with time-varying
delays was studied. Instead of transforming the fractional quaternion neural network system …

Some dynamical behaviors of fractional-order commutative quaternion-valued neural networks via direct method of Lyapunov

Y **a, X Chen, D Lin, Z Li - IEEE Access, 2020 - ieeexplore.ieee.org
Some dynamical behaviors of fractional-order commutative quaternion-valued neural
networks (FCQVNNs) are studied in this paper. First, because the commutative quaternion …

具有时变时滞的分数阶四元数神经网络的投影同步.

**春美, 杨绪君, 吴香 - Applied Mathematics & Mechanics …, 2023 - search.ebscohost.com
研究了具有时变时滞的分数阶四元数神经网络的投影同步问题. 该文不将分数阶四元数神经网络
系统转化成两个复值系统或四个实值系统, 而是将四元数系统当做一个整体进行处理 …