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 …

Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks

J Chen, Z Zeng, P Jiang - Neural networks, 2014 - Elsevier
The present paper introduces memristor-based fractional-order neural networks. The
conditions on the global Mittag-Leffler stability and synchronization are established by using …

Global stabilization of fractional-order memristor-based neural networks with time delay

J Jia, X Huang, Y Li, J Cao… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
This paper addresses the global stabilization of fractional-order memristor-based neural
networks (FMNNs) with time delay. The voltage threshold type memristor model is …

[HTML][HTML] Variable-order fractional discrete-time recurrent neural networks

LL Huang, JH Park, GC Wu, ZW Mo - Journal of Computational and …, 2020 - Elsevier
Discrete fractional calculus is suggested to describe neural networks with memory effects.
Fractional discrete-time recurrent neural network is proposed on an isolated time scale …

Adaptive synchronization of fractional-order memristor-based neural networks with time delay

H Bao, JH Park, J Cao - Nonlinear Dynamics, 2015 - Springer
This paper is concerned with the adaptive synchronization problem of fractional-order
memristor-based neural networks with time delay. By combining the adaptive control, linear …

Projective synchronization of fractional-order memristor-based neural networks

HB Bao, JD Cao - Neural Networks, 2015 - Elsevier
This paper investigates the projective synchronization of fractional-order memristor-based
neural networks. Sufficient conditions are derived in the sense of Caputo's fractional …

Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay

Z Wang, X Wang, Y Li, X Huang - International Journal of …, 2017 - World Scientific
In this paper, the problems of stability and Hopf bifurcation in a class of fractional-order
complex-valued single neuron model with time delay are addressed. With the help of the …

Synchronization of fractional-order complex-valued neural networks with time delay

H Bao, JH Park, J Cao - Neural Networks, 2016 - Elsevier
This paper deals with the problem of synchronization of fractional-order complex-valued
neural networks with time delays. By means of linear delay feedback control and a fractional …

Global stability analysis of fractional-order Hopfield neural networks with time delay

H Wang, Y Yu, G Wen, S Zhang, J Yu - Neurocomputing, 2015 - Elsevier
In this paper, the global stability analysis of fractional-order Hopfield neural networks with
time delay is investigated. A stability theorem for linear fractional-order systems with time …