FMNSICS: Fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane–Emden systems
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Date
2022
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Abstract
The fractional neuro-evolution-based intelligent computing has substantial potential to solve fractional order systems represented with Lane–Emden equation arising in astrophysics including Newtonian self-gravitating, spherically symmetric and polytropic fluid. The present study aimed to present a neuro-swarm-based intelligent computing solver for the solution of nonlinear fractional Lane–Emden system (NFLES) using by exploitation of fractional Meyer wavelet artificial neural networks (FMW-ANNs) and global optimization mechanism of particle swarm optimization (PSO) combined with rapid local search of sequential quadratic programming (SQP), i.e., FMW-ANN-PSO-SQP. The motivation for the design of FMW-ANN-PSO-SQP intelligent computing comes with an objective of presenting an accurate, reliable, and viable framworks to deal with stiff nonlinear singular models represented with NFLES involving both fractional and integer derivative terms. The designed algorithm is tested for six different variants of NFLESs. The obtained numerical outcomes obtained by the proposed FMW-ANN-PSO-SQP are compared with the exact results to authenticate the correctness, efficacy, and viability, and these aspects are further endorsed statistical observations. © 2021, The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature.
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Keywords
Artificial Neural Networks, Fractional Lane–Emden Model, Intelligent Computing, Meyer Wavelets, Particle Swarm Optimization, Sequential Quadratic Programming
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Citation
Sabir, Zulqurnain...et al. (2022). "FMNSICS: Fractional Meyer neuro-swarm intelligent computing solver for nonlinear fractional Lane–Emden systems", Neural Computing and Applications, Vol. 34, No. 6, pp. 4193-4206.
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Neural Computing and Applications
Volume
34
Issue
6
Start Page
4193
End Page
4206