[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 survey of fractional calculus applications in artificial neural networks

M Joshi, S Bhosale, VA Vyawahare - Artificial Intelligence Review, 2023 - Springer
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 …

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 …

Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects

H Zhang, Y Cheng, H Zhang, W Zhang, J Cao - … and Computers in …, 2022 - Elsevier
This article discusses the global Mittag-Leffler projective synchronization (GM-LPS) on
fractional-order quaternion-valued neural networks (FOQVNNs) including mixed delays and …

Global nonfragile synchronization in finite time for fractional-order discontinuous neural networks with nonlinear growth activations

X Peng, H Wu, J Cao - IEEE Transactions on Neural Networks …, 2018 - ieeexplore.ieee.org
This paper is concerned with the global nonfragile Mittag-Leffler synchronization and the
global synchronization in finite time for fractional-order discontinuous neural networks …

Quasi-projective synchronization of fractional-order complex-valued recurrent neural networks

S Yang, J Yu, C Hu, H Jiang - Neural Networks, 2018 - Elsevier
In this paper, without separating the complex-valued neural networks into two real-valued
systems, the quasi-projective synchronization of fractional-order complex-valued neural …

Global Mittag-Leffler stability and synchronization analysis of fractional-order quaternion-valued neural networks with linear threshold neurons

X Yang, C Li, Q Song, J Chen, J Huang - Neural Networks, 2018 - Elsevier
This paper talks about the stability and synchronization problems of fractional-order
quaternion-valued neural networks (FQVNNs) with linear threshold neurons. On account of …

Quasi-uniform synchronization of fractional fuzzy discrete-time delayed neural networks via delayed feedback control design

P Gao, H Zhang, R Ye, I Stamova, J Cao - Communications in Nonlinear …, 2023 - Elsevier
This paper is concerned with the quasi-uniform synchronization (Q-US) issues of discrete
fractional fuzzy neural networks (DFFNNs) with time delays. Firstly, we analyze the neural …

Stability and synchronization criteria for fractional order competitive neural networks with time delays: An asymptotic expansion of Mittag Leffler function

A Pratap, R Raja, J Cao, G Rajchakit… - Journal of the Franklin …, 2019 - Elsevier
Competitive neural networks (CNNs) has not been well developed in nonlinear fractional
order dynamical system, which is developed first time in this paper. Then, by means of a …

Further synchronization in finite time analysis for time-varying delayed fractional order memristive competitive neural networks with leakage delay

A Pratap, R Raja, J Cao, G Rajchakit, FE Alsaadi - Neurocomputing, 2018 - Elsevier
This article mainly concerns the synchronization in finite-time to the time-varying delay
fractional order memristive competitive neural networks (TMFCNNs) with leakage delay. By …