دورية أكاديمية
Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method
| العنوان: | Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method |
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| المؤلفون: | Mengqi Xie, Sami Ullah Khan, Wojciech Sumelka, Atif M. Alamri, Salman A. AlQahtani |
| المصدر: | Scientific Reports, Vol 14, Iss 1, Pp 1-16 (2024) |
| بيانات النشر: | Nature Portfolio, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Medicine LCC:Science |
| مصطلحات موضوعية: | Fractional delay stochastic differential equations, Stochasticity, Time delays, Fractional calculus, Stability analysis, Spectral method, Medicine, Science |
| الوصف: | Abstract 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. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2045-2322 |
| العلاقة: | https://doaj.org/toc/2045-2322Test |
| DOI: | 10.1038/s41598-024-62851-0 |
| الوصول الحر: | https://doaj.org/article/ef5a675be4584516b5c1dff569bea666Test |
| رقم الانضمام: | edsdoj.f5a675be4584516b5c1dff569bea666 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 20452322 |
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| DOI: | 10.1038/s41598-024-62851-0 |