[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 …

[图书][B] Fractional calculus with applications in mechanics: vibrations and diffusion processes

TM Atanackovic, S Pilipovic, B Stankovic, D Zorica - 2014 - books.google.com
This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …

Atangana–Baleanu fractional approach to the solutions of Bagley–Torvik and Painlevé equations in Hilbert space

OA Arqub, M Al-Smadi - Chaos, Solitons & Fractals, 2018 - Elsevier
In this analysis, by developed the reproducing kernel Hilbert space method within the
Atangana–Baleanu fractional approach, the Bagley–Torvik and Painlevé equations are …

Synchronization of fractional-order complex-valued neural networks with time delay

H Bao, JH Park, J Cao - Neural Networks, 2016 - Elsevier
This paper deals with the problem of synchronization of fractional-order complex-valued
neural networks with time delays. By means of linear delay feedback control and a fractional …

Solving differential equations of fractional order using an optimization technique based on training artificial neural network

M Pakdaman, A Ahmadian, S Effati… - Applied Mathematics …, 2017 - Elsevier
The current study aims to approximate the solution of fractional differential equations (FDEs)
by using the fundamental properties of artificial neural networks (ANNs) for function …

A novel design of Gaussian WaveNets for rotational hybrid nanofluidic flow over a stretching sheet involving thermal radiation

H Ilyas, I Ahmad, MAZ Raja, M Shoaib - International Communications in …, 2021 - Elsevier
The aim of this study is to analysis the mass and heat transfer in radiative three dimensional
flow of hybrid nanofluid over the stretchable sheet by exploiting the strength of integrated …

[图书][B] Fractional calculus with applications in mechanics: wave propagation, impact and variational principles

TM Atanackovic, S Pilipovic, B Stankovic, D Zorica - 2014 - books.google.com
The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion
Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation …

[HTML][HTML] A study of changes in temperature profile of porous fin model using cuckoo search algorithm

W Waseem, M Sulaiman, S Islam, P Kumam… - Alexandria Engineering …, 2020 - Elsevier
For analysis of physical properties of different materials, rectangular porous fins are used to
examine the heat transformation through a system. In this paper, a metaheuristic is …

[HTML][HTML] Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics

P Yadav, S Jahan, KS Nisar - Ain Shams Engineering Journal, 2024 - Elsevier
This study introduces a new fractional order Fibonacci wavelet technique proposed for
solving the fractional Bagley-Torvik equation (BTE), along with the block pulse functions. To …

Fractional Hopfield neural networks: Fractional dynamic associative recurrent neural networks

YF Pu, Z Yi, JL Zhou - … on neural networks and learning systems, 2016 - ieeexplore.ieee.org
This paper mainly discusses a novel conceptual framework: fractional Hopfield neural
networks (FHNN). As is commonly known, fractional calculus has been incorporated into …