Numerical simulation of a fractional stochastic delay differential equations using spectral scheme: a comprehensive stability analysis

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10254687" target="_blank" >RIV/61989100:27740/24:10254687 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.nature.com/articles/s41598-024-56944-z" target="_blank" >https://www.nature.com/articles/s41598-024-56944-z</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1038/s41598-024-56944-z" target="_blank" >10.1038/s41598-024-56944-z</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical simulation of a fractional stochastic delay differential equations using spectral scheme: a comprehensive stability analysis

Popis výsledku v původním jazyce

The fractional stochastic delay differential equation (FSDDE) is a powerful mathematical tool for modeling complex systems that exhibit both fractional order dynamics and stochasticity with time delays. The purpose of this study is to explore the stability analysis of a system of FSDDEs. Our study emphasizes the interaction between fractional calculus, stochasticity, and time delays in understanding the stability of such systems. Analyzing the moments of the system&apos;s solutions, we investigate stochasticity&apos;s influence on FSDDS. The article provides practical insight into solving FSDDS efficiently using various numerical techniques. Additionally, this research focuses both on asymptotic as well as Lyapunov stability of FSDDS. The local stability conditions are clearly presented and also the effects of a fractional orders with delay on the stability properties are examine. Through a comprehensive test of a stability criteria, practical examples and numerical simulations we demonstrate the complexity and challenges concern with the analyzing FSDDEs.

Název v anglickém jazyce

Numerical simulation of a fractional stochastic delay differential equations using spectral scheme: a comprehensive stability analysis

Popis výsledku anglicky

The fractional stochastic delay differential equation (FSDDE) is a powerful mathematical tool for modeling complex systems that exhibit both fractional order dynamics and stochasticity with time delays. The purpose of this study is to explore the stability analysis of a system of FSDDEs. Our study emphasizes the interaction between fractional calculus, stochasticity, and time delays in understanding the stability of such systems. Analyzing the moments of the system&apos;s solutions, we investigate stochasticity&apos;s influence on FSDDS. The article provides practical insight into solving FSDDS efficiently using various numerical techniques. Additionally, this research focuses both on asymptotic as well as Lyapunov stability of FSDDS. The local stability conditions are clearly presented and also the effects of a fractional orders with delay on the stability properties are examine. Through a comprehensive test of a stability criteria, practical examples and numerical simulations we demonstrate the complexity and challenges concern with the analyzing FSDDEs.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

21100 - Other engineering and technologies

Projekt

—

Návaznosti

—

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Scientific Reports

ISSN

2045-2322

e-ISSN

2045-2322

Svazek periodika

14

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

—

Kód UT WoS článku

001190086900048

EID výsledku v databázi Scopus

2-s2.0-85188430160