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A survey of fractional calculus applications in artificial neural networks
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 …
learning. The interpolating and learning ability of an ANN makes it an ideal tool for …
Exponentially stable periodic oscillation and Mittag–Leffler stabilization for fractional-order impulsive control neural networks with piecewise Caputo derivatives
T Zhang, J Zhou, Y Liao - IEEE Transactions on Cybernetics, 2021 - ieeexplore.ieee.org
It is well known that the conventional fractional-order neural networks (FONNs) cannot
generate nonconstant periodic oscillation. For this point, this article discusses a class of …
generate nonconstant periodic oscillation. For this point, this article discusses a class of …
Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique
A class of semilinear fractional difference equations is introduced in this paper. The fixed
point theorem is adopted to find stability conditions for fractional difference equations. The …
point theorem is adopted to find stability conditions for fractional difference equations. The …
Hybrid control design for Mittag-Leffler projective synchronization on FOQVNNs with multiple mixed delays and impulsive effects
This article discusses the global Mittag-Leffler projective synchronization (GM-LPS) on
fractional-order quaternion-valued neural networks (FOQVNNs) including mixed delays and …
fractional-order quaternion-valued neural networks (FOQVNNs) including mixed delays and …
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 …
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
This paper is concerned with finite-time synchronization and finite-time synchronization for
coupled neural networks with multiple state/derivative couplings. Firstly, several sufficient …
coupled neural networks with multiple state/derivative couplings. Firstly, several sufficient …
[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 …
(FMNNs) with leakage and discrete delays is studied in this paper, in which the impacts of …
New exploration on bifurcation in fractional-order genetic regulatory networks incorporating both type delays
This study principally deals with the stability property and the emergence of Hopf bifurcation
for fractional-order genetic regulatory networks incorporating distributed delays and discrete …
for fractional-order genetic regulatory networks incorporating distributed delays and discrete …
Finite-time synchronization of fractional-order gene regulatory networks with time delay
Y Qiao, H Yan, L Duan, J Miao - Neural Networks, 2020 - Elsevier
As multi-gene networks transmit signals and products by synchronous cooperation,
investigating the synchronization of gene regulatory networks may help us to explore the …
investigating the synchronization of gene regulatory networks may help us to explore the …
Synchronization analysis of fractional-order inertial-type neural networks with time delays
Q Peng, J Jian - Mathematics and Computers in Simulation, 2023 - Elsevier
This paper is dedicated to the global Mittag-Leffler synchronization (GMLS) of fractional-
order inertial-type neural networks (FOITNNs) with time delays. To begin with, based on the …
order inertial-type neural networks (FOITNNs) with time delays. To begin with, based on the …