[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 …

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 …

Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★

H Zhang, J Cheng, H Zhang, W Zhang, J Cao - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper discusses the quasi-uniform synchronization issue for fractional-orderneural
networks (FONNs) with leakage and discrete delays. The impacts of leakage delay, discrete …

Impulsive effects on bipartite quasi synchronization of extended Caputo fractional order coupled networks

L Zhang, Y Yang - Journal of the Franklin Institute, 2020 - Elsevier
This paper is considered with a bipartite quasi synchronization of a fractional order signed
network consisting of a group of antagonistic coupled neural networks. The objective is to …

Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks

M Zheng, L Li, H Peng, J **ao, Y Yang, Y Zhang… - … in Nonlinear Science …, 2018 - Elsevier
This paper mainly studies the finite-time stability and synchronization problems of memristor-
based fractional-order fuzzy cellular neural network (MFFCNN). Firstly, we discuss the …

Global asymptotic stability and adaptive ultimate Mittag–Leffler synchronization for a fractional-order complex-valued memristive neural networks with delays

J Chen, B Chen, Z Zeng - IEEE Transactions on Systems, Man …, 2018 - ieeexplore.ieee.org
This paper investigates some dynamic behaviors for a fractional-order complex-valued
memristive neural networks (FCVMNNs) with delays. A new mathematical expression of the …

Edge-based fractional-order adaptive strategies for synchronization of fractional-order coupled networks with reaction–diffusion terms

Y Lv, C Hu, J Yu, H Jiang… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In this paper, spatial diffusions are introduced to fractional-order coupled networks and the
problem of synchronization is investigated for fractional-order coupled neural networks with …

Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders

X Wang, Z Wang, J **a - Journal of the Franklin Institute, 2019 - Elsevier
In this paper, a delayed fractional eco-epidemiological model with incommensurate orders is
proposed, and a control strategy of this model is discussed. Firstly, for the system with no …

Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays

L Chen, T Huang, JAT Machado, AM Lopes, Y Chai… - Neural Networks, 2019 - Elsevier
Abstract The Lyapunov–Krasovskii functional approach is an important and effective delay-
dependent stability analysis method for integer order system. However, it cannot be applied …

Non-fragile state estimation for fractional-order delayed memristive BAM neural networks

H Bao, JH Park, J Cao - Neural Networks, 2019 - Elsevier
This paper deals with the non-fragile state estimation problem for a class of fractional-order
memristive BAM neural networks (FMBAMNNs) with and without time delays for the first time …