[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 …

Fractional order uncertain BAM neural networks with mixed time delays: An existence and Quasi-uniform stability analysis

M Chinnamuniyandi, S Chandran… - Journal of Intelligent & …, 2024 - content.iospress.com
This research investigates the presence of unique solutions and quasi-uniform stability for a
class of fractional-order uncertain BAM neural networks utilizing the Banach fixed point …

Numerical simulations and complex valued fractional order neural networks via (ɛ–μ)-uniformly contractive mappings

SK Panda, KS Kalla, AM Nagy, L Priyanka - Chaos, Solitons & Fractals, 2023 - Elsevier
In this article, we present some fixed point results for (ɛ− μ)-uniformly contractive mappings
and Ćirić–Riech–Rus type (ɛ− μ)-uniformly locally contractive mappings. As an application …

New criteria on finite-time stability of fractional-order Hopfield neural networks with time delays

F Du, JG Lu - IEEE Transactions on Neural Networks and …, 2020 - ieeexplore.ieee.org
In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with
time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of …

Finite-time synchronization of fractional-order memristive neural networks via feedback and periodically intermittent control

M Hui, C Wei, J Zhang, HHC Iu, R Yao, L Bai - … in Nonlinear Science and …, 2023 - Elsevier
This paper discusses the finite-time synchronization (FTS) of fractional-order memristive
neural networks (FMNNs) with time-varying delays. Firstly, based on Gronwall–Bellman …

Analytic simulation of the synergy of spatial-temporal memory indices with proportional time delay

I Jaradat, M Alquran, TA Sulaiman, A Yusuf - Chaos, Solitons & Fractals, 2022 - Elsevier
In the present work, three space-time trace parameters are appended to physical systems to
analytically outline their mutual impact and to characterize the dynamic behaviors of these …

Global asymptotic stability of fractional-order complex-valued neural networks with probabilistic time-varying delays

S Chen, Q Song, Z Zhao, Y Liu, FE Alsaadi - Neurocomputing, 2021 - Elsevier
The stability of fractional-order complex-valued neural networks (FOCVNNs) with
probabilistic time-varying delays is investigated in this paper. By constructing suitable …

Improved quasiuniform stability for fractional order neural nets with mixed delay

O Naifar, A Jmal, AM Nagy… - Mathematical Problems …, 2020 - Wiley Online Library
In the present paper, a quasiuniform stability result for fractional order neural networks with
mixed delay is developed, based on the generalized Gronwall inequality and the Caputo …

Finite-time stability of linear stochastic fractional-order systems with time delay

L Mchiri, A Ben Makhlouf, D Baleanu… - Advances in Difference …, 2021 - Springer
This paper focuses on the finite-time stability of linear stochastic fractional-order systems
with time delay for α∈(1 2, 1) α∈(12,1). Under the generalized Gronwall inequality and …

Non‐fragile H observer for Lipschitz conformable fractional‐order systems

O Naifar, A Jmal, A Ben Makhlouf - Asian Journal of Control, 2022 - Wiley Online Library
The issue of designing simultaneously robust and non‐fragile observers for the classical
integer‐order systems has been widely investigated in the literature. Yet, there are just some …