Artificial neural networks: a practical review of applications involving fractional calculus
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 …
calculus (FC) theory has been developed to summarize the main features and applications …
A survey of fractional calculus applications in artificial neural networks
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 …
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 …
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
This paper addresses the global stabilization of fractional-order memristor-based neural
networks (FMNNs) with time delay. The voltage threshold type memristor model is …
networks (FMNNs) with time delay. The voltage threshold type memristor model is …
[HTML][HTML] Variable-order fractional discrete-time recurrent neural networks
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 …
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
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 …
memristor-based neural networks with time delay. By combining the adaptive control, linear …
Projective synchronization of fractional-order memristor-based neural networks
This paper investigates the projective synchronization of fractional-order memristor-based
neural networks. Sufficient conditions are derived in the sense of Caputo's fractional …
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
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 …
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
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 …
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
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 …
time delay is investigated. A stability theorem for linear fractional-order systems with time …