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 exponential stability of discrete-time almost automorphic Caputo–Fabrizio BAM fuzzy neural networks via exponential Euler technique

T Zhang, Y Li - Knowledge-Based Systems, 2022 - Elsevier
Exponential Euler discrete schemes have been widely employed in the studies of Caputo
fractional order differential equations, but almost no literature concerns the Caputo–Fabrizio …

Event-triggered impulsive cluster synchronization of coupled reaction–diffusion neural networks and its application to image encryption

M Hui, X Liu, S Zhu, J Cao - Neural Networks, 2024 - Elsevier
This paper investigates the cluster synchronization of coupled neural networks with reaction–
diffusion terms. With the help of impulsive control strategies, some cluster synchronization …

Mittag–Leffler stability and synchronization of neutral-type fractional-order neural networks with leakage delay and mixed delays

CA Popa - Journal of the Franklin Institute, 2023 - Elsevier
In recent years, there have been a lot of studies focusing on the dynamics of fractional-order
neural networks (FONNs). One problem is that the standard Lyapunov theory does not apply …

Finite-time nonchattering synchronization of coupled neural networks with multi-weights

LH Zhao, S Wen, Z Guo, K Shi, J **ao… - … on Network Science …, 2023 - ieeexplore.ieee.org
This paper is concerned with finite-time synchronization and finite-time synchronization for
coupled neural networks with multiple state/derivative couplings. Firstly, several sufficient …

Mixed-delay-based augmented functional for sampled-data synchronization of delayed neural networks with communication delay

Y Zhang, Y He, F Long… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
The synchronization control for delayed neural networks (DNNs) via a sampled-data
controller considering communication delay is studied by input delay approach. Although …

[HTML][HTML] Finite-time synchronization of uncertain fractional-order delayed memristive neural networks via adaptive sliding mode control and its application

T Jia, X Chen, L He, F Zhao, J Qiu - Fractal and Fractional, 2022 - mdpi.com
Finite-time synchronization (FTS) of uncertain fractional-order memristive neural networks
(FMNNs) with leakage and discrete delays is studied in this paper, in which the impacts of …

[HTML][HTML] On variable-order fractional discrete neural networks: solvability and stability

A Hioual, A Ouannas, TE Oussaeif, G Grassi… - Fractal and …, 2022 - mdpi.com
Few papers have been published to date regarding the stability of neural networks
described by fractional difference operators. This paper makes a contribution to the topic by …

Existence, uniqueness and global stability of Clifford-valued neutral-type neural networks with time delays

G Rajchakit, R Sriraman, CP Lim, B Unyong - Mathematics and Computers …, 2022 - Elsevier
In this paper, we analyze the global asymptotic stability and global exponential stability with
respect to the Clifford-valued neutral-type neural network (NN) models with time delays. By …

Recent advances and applications of fractional-order neural networks

M Maiti, M Sunder, R Abishek, K Bingi, NB Shaik… - Engineering …, 2022 - engj.org
This paper focuses on the growth, development, and future of various forms of fractional-
order neural networks. Multiple advances in structure, learning algorithms, and methods …