[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 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 …

[图书][B] Functional and impulsive differential equations of fractional order: qualitative analysis and applications

I Stamova, G Stamov - 2017 - taylorfrancis.com
The book presents qualitative results for different classes of fractional equations, including
fractional functional differential equations, fractional impulsive differential equations, and …

Impact of leakage delay on bifurcation in high-order fractional BAM neural networks

C Huang, J Cao - Neural Networks, 2018 - Elsevier
The effects of leakage delay on the dynamics of neural networks with integer-order have
lately been received considerable attention. It has been confirmed that fractional neural …

Finite-time stability analysis of fractional-order neural networks with delay

X Yang, Q Song, Y Liu, Z Zhao - Neurocomputing, 2015 - Elsevier
Stability analysis of fractional-order neural networks with delay is addressed in this paper.
By using the contracting mapping principle, method of iteration and inequality techniques, a …

Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects

MS Ali, G Narayanan, S Sevgen, V Shekher… - … in Nonlinear Science and …, 2019 - Elsevier
In this paper, the impulsive effects on the stability equilibrium solution for Riemann–Liouville
fractional-order fuzzy BAM neural networks with time delay are investigated. Firstly, some …

Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with both leakage and time-varying delays

L Wang, Q Song, Y Liu, Z Zhao, FE Alsaadi - Neurocomputing, 2017 - Elsevier
Finite-time stability of a class of fractional-order complex-valued memristor-based neural
networks with both leakage and time-varying delays is investigated in this paper. By …

New bifurcation results for fractional BAM neural network with leakage delay

C Huang, Y Meng, J Cao, A Alsaedi… - Chaos, Solitons & Fractals, 2017 - Elsevier
Recently, the dynamics of the fractional delayed neural networks has been considerably
concerned. It is illustrated that time delay has a remarkable influence on the dynamical …

Finite-time stability analysis for fractional-order Cohen–Grossberg BAM neural networks with time delays

C Rajivganthi, FA Rihan, S Lakshmanan… - Neural Computing and …, 2018 - Springer
In this paper, the problem of finite-time stability for a class of fractional-order Cohen–
Grossberg BAM neural networks with time delays is investigated. Using some inequality …

Global asymptotic stability of impulsive fractional-order BAM neural networks with time delay

F Wang, Y Yang, X Xu, L Li - Neural Computing and Applications, 2017 - Springer
In this paper, we study the global asymptotic stability of fractional-order BAM neural
networks. We take both time delay and impulsive effects into consideration. Based on …