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Article

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Title

Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method

Authors

[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering, geodesy and transport

Year of publication

2024

Published in

Scientific Reports

Journal year: 2024 | Journal volume: vol. 14

Article type

scientific article

Publication language

english

Keywords
EN
  • Fractional delay stochastic differential equations
  • Stochasticity
  • Time delays
  • Fractional calculus
  • Stability analysis
  • Spectral method
Abstract

EN In recent years, there has been a growing interest in incorporating fractional calculus into stochastic delay systems due to its ability to model complex phenomena with uncertainties and memory effects. The fractional stochastic delay differential equations are conventional in modeling such complex dynamical systems around various applied fields. The present study addresses a novel spectral approach to demonstrate the stability behavior and numerical solution of the systems characterized by stochasticity along with fractional derivatives and time delay. By bridging the gap between fractional calculus, stochastic processes, and spectral analysis, this work contributes to the field of fractional dynamics and enriches the toolbox of analytical tools available for investigating the stability of systems with delays and uncertainties. To illustrate the practical implications and validate the theoretical findings of our approach, some numerical simulations are presented.

Pages (from - to)

12047-1 - 12047-16

DOI

10.1038/s41598-024-62851-0

URL

https://www.nature.com/articles/s41598-024-62851-0

Comments

Article Number: 12047

License type

CC BY (attribution alone)

Open Access Mode

open journal

Open Access Text Version

final published version

Date of Open Access to the publication

at the time of publication

Ministry points / journal

140

Impact Factor

3,8 [List 2023]

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