[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 …

A survey of fractional calculus applications in artificial neural networks

M Joshi, S Bhosale, VA Vyawahare - Artificial Intelligence Review, 2023 - Springer
Artificial neural network (ANN) is the backbone of machine learning, specifically deep
learning. The interpolating and learning ability of an ANN makes it an ideal tool for …

Insight into Hopf bifurcation and control methods in fractional order BAM neural networks incorporating symmetric structure and delay

P Li, Y Lu, C Xu, J Ren - Cognitive Computation, 2023 - Springer
The trait of solution, bifurcation mechanism, and stability of delayed BAM neural network
models have attracted great attention from many scholars. But the exploration about the …

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 …

Robust stability of fractional-order quaternion-valued neural networks with neutral delays and parameter uncertainties

Q Song, Y Chen, Z Zhao, Y Liu, FE Alsaadi - Neurocomputing, 2021 - Elsevier
This paper focuses on the robust stability analysis of fractional-order quaternion-valued
neural networks (FOQVNNs) with neutral delay and parameter uncertainties. Without …

A general approach to fixed-time synchronization problem for fractional-order multidimension-valued fuzzy neural networks based on memristor

J Xiao, J Cheng, K Shi, R Zhang - IEEE Transactions on fuzzy …, 2021 - ieeexplore.ieee.org
In this article, a general approach to fixed-time synchronization problem is investigated for
the general system of fractional-order multidimension-valued fuzzy memristive neural …

Extended analysis on the global Mittag-Leffler synchronization problem for fractional-order octonion-valued BAM neural networks

J Xiao, X Guo, Y Li, S Wen, K Shi, Y Tang - Neural Networks, 2022 - Elsevier
In this paper, a new case of neural networks called fractional-order octonion-valued
bidirectional associative memory neural networks (FOOVBAMNNs) is established. First, the …

Global Mittag–Leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks

G Rajchakit, P Chanthorn, P Kaewmesri, R Sriraman… - Mathematics, 2020 - mdpi.com
This paper studies the global Mittag–Leffler stability and stabilization analysis of fractional-
order quaternion-valued memristive neural networks (FOQVMNNs). The state feedback …

Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks

J Xiao, J Cao, J Cheng, S Zhong, S Wen - Information Sciences, 2020 - Elsevier
This paper proposes two methods to investigate the problem of finite-time Mittag-Leffler
synchronization for the systems of fractional-order quaternion-valued neural networks …

Global stability analysis of fractional-order quaternion-valued bidirectional associative memory neural networks

U Humphries, G Rajchakit, P Kaewmesri, P Chanthorn… - Mathematics, 2020 - mdpi.com
We study the global asymptotic stability problem with respect to the fractional-order
quaternion-valued bidirectional associative memory neural network (FQVBAMNN) models in …