[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 stochastic intelligent computing with neuro-evolution heuristics for nonlinear SITR system of novel COVID-19 dynamics

M Umar, Z Sabir, MAZ Raja, M Shoaib, M Gupta… - Symmetry, 2020 - mdpi.com
The present study aims to design stochastic intelligent computational heuristics for the
numerical treatment of a nonlinear SITR system representing the dynamics of novel …

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 …

A new stochastic computing paradigm for the dynamics of nonlinear singular heat conduction model of the human head

MAZ Raja, M Umar, Z Sabir, JA Khan… - The European Physical …, 2018 - Springer
Bio-inspired computing approaches are effective to solve a variety of dynamical problems.
The strength of these stochastic solvers is exploited for the numerical treatment of a …

[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 …

Fractional Riccati equation and its applications to Rough Heston model using numerical methods

SW Jeng, A Kilicman - Symmetry, 2020 - mdpi.com
Rough volatility models are recently popularized by the need of a consistent model for the
observed empirical volatility in the financial market. In this case, it has been shown that the …

Neural network methods to solve the Lane–Emden type equations arising in thermodynamic studies of the spherical gas cloud model

I Ahmad, MAZ Raja, M Bilal, F Ashraf - Neural Computing and Applications, 2017 - Springer
In the present study, stochastic numerical computing approach is developed by applying
artificial neural networks (ANNs) to compute the solution of Lane–Emden type boundary …

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 …

Integrated intelligence of fractional neural networks and sequential quadratic programming for Bagley–Torvik systems arising in fluid mechanics

MAZ Raja, MA Manzar… - Journal of …, 2020 - asmedigitalcollection.asme.org
In this study, an efficient soft computing paradigm is presented for solving Bagley–Torvik
systems of fractional order arising in fluid dynamic model for the motion of a rigid plate …

Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks

CJ Zúñiga-Aguilar, HM Romero-Ugalde… - Chaos, Solitons & …, 2017 - Elsevier
In this paper, we approximate the solution of fractional differential equations using a new
approach of artificial neural network. We consider fractional differential equations of variable …