[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 …

Finite-time stability of fractional-order fuzzy cellular neural networks with time delays

F Du, JG Lu - Fuzzy Sets and Systems, 2022 - Elsevier
The finite-time stability of fractional-order fuzzy cellular neural networks with time delays is
investigated. One of the difficulties in stability analysis of fractional-order delayed systems …

Quasi-stability and quasi-synchronization control of quaternion-valued fractional-order discrete-time memristive neural networks

R Li, J Cao, C Xue, R Manivannan - Applied Mathematics and Computation, 2021 - Elsevier
A discrete-time fractional-order quaternion-valued memristive system is considered in this
note. By utilizing contraction map** theory, a sufficient condition for the existence and …

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 …

Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term

MS Ali, G Narayanan, S Saroha, B Priya… - … and Computers in …, 2021 - Elsevier
In this paper, we investigate finite-time stability analysis of fractional-order memristive fuzzy
cellular neural networks (MFFCNNs) with time delay and leakage term. MFFCNNs are …

Quantized control for finite-time synchronization of delayed fractional-order memristive neural networks: The Gronwall inequality approach

X Si, Z Wang, Y Fan - Expert Systems with Applications, 2023 - Elsevier
This paper is concerned with the finite-time synchronization (FTS) of delayed fractional-order
memristive neural networks (FMNNs) by using quantized control. Firstly, two kinds of …

New results on finite-time stability for fractional-order neural networks with proportional delay

Z Yang, J Zhang, J Hu, J Mei - Neurocomputing, 2021 - Elsevier
This paper investigates the finite-time stability for a class of fractional-order neural networks
with proportional delay. By some analytic techniques, a generalized Gronwall integral …

Passivity analysis of fractional-order neural networks with time-varying delay based on LMI approach

NH Sau, MV Thuan, NTT Huyen - Circuits, Systems, and Signal …, 2020 - Springer
In this paper, we study the problem of passivity analysis of fractional-order neural networks
(FONNs) with a time-varying delay. By using the Razumikhin fractional-order theorem, we …

Quasi-synchronization and complete synchronization of fractional-order fuzzy BAM neural networks via nonlinear control

J Yang, HL Li, J Yang, L Zhang, H Jiang - Neural Processing Letters, 2022 - Springer
This paper investigates quasi-synchronization (QS) and complete synchronization (CS) for
fractional-order fuzzy bidirectional associative memory neural networks. To realize QS and …

Global asymptotic stability of delayed fractional-order complex-valued fuzzy cellular neural networks with impulsive disturbances

RV Aravind, P Balasubramaniam - Journal of Applied Mathematics and …, 2022 - Springer
This paper focuses on the global asymptotic stability of fractional-order complex-valued
fuzzy cellular neural networks (CVFCNNs) with impulse effects and time-varying delays. In …