[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 …

Bifurcations in a fractional-order BAM neural network with four different delays

C Huang, J Wang, X Chen, J Cao - Neural Networks, 2021 - Elsevier
This paper illuminates the issue of bifurcations for a fractional-order bidirectional associative
memory neural network (FOBAMNN) with four different delays. On account of the affirmatory …

Intermittent control for finite-time synchronization of fractional-order complex networks

L Zhang, J Zhong, J Lu - Neural Networks, 2021 - Elsevier
This paper is concerned with the finite-time synchronization problem for fractional-order
complex dynamical networks (FCDNs) with intermittent control. Using the definition of …

Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation

C Xu, Z Liu, M Liao, P Li, Q Xiao, S Yuan - Mathematics and Computers in …, 2021 - Elsevier
The stability and Hopf bifurcation have important effect on the design of neural networks. By
revealing the effect of parameters on the stability and Hopf bifurcation of neural networks, we …

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 …

Synchronization analysis of discrete-time fractional-order quaternion-valued uncertain neural networks

HL Li, J Cao, C Hu, H Jiang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
This article studies synchronization issues for a class of discrete-time fractional-order
quaternion-valued uncertain neural networks (DFQUNNs) using nonseparation method …

Delay-induced periodic oscillation for fractional-order neural networks with mixed delays

C Xu, W Zhang, Z Liu, L Yao - Neurocomputing, 2022 - Elsevier
This article is mainly devoted to the investigation on the stability and Hopf bifurcation of
fractional-order neural networks with mixed delays. Applying a suitable substitution of …

Bifurcations in a fractional-order neural network with multiple leakage delays

C Huang, H Liu, X Shi, X Chen, M Xiao, Z Wang, J Cao - Neural Networks, 2020 - Elsevier
This paper expatiates the stability and bifurcation for a fractional-order neural network
(FONN) with double leakage delays. Firstly, the characteristic equation of the developed …

A comprehensive review of continuous-/discontinuous-time fractional-order multidimensional neural networks

J Cao, K Udhayakumar… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The dynamical study of continuous-/discontinuous-time fractional-order neural networks
(FONNs) has been thoroughly explored, and several publications have been made …

Further exploration on bifurcation of fractional-order six-neuron bi-directional associative memory neural networks with multi-delays

C Xu, Z Liu, L Yao, C Aouiti - Applied mathematics and computation, 2021 - Elsevier
This study mainly explores fractional-order six-neuron bi-directional associative memory
(BAM) neural networks involving multi-delays. Taking advantage of contraction mapping …