Fractional differential equations with a constant delay: statiblity and asymptotics of solutions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00100417" target="_blank" >RIV/00216224:14310/17:00100417 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.amc.2016.11.016" target="_blank" >http://dx.doi.org/10.1016/j.amc.2016.11.016</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2016.11.016" target="_blank" >10.1016/j.amc.2016.11.016</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractional differential equations with a constant delay: statiblity and asymptotics of solutions

Popis výsledku v původním jazyce

The paper discusses the stability and asymptotic behavior of fractional-order differential equations involving both delayed as well as nondelayed terms. As the main results, the necessary and sufficient conditions guaranteeing asymptotic stability of its zero solution are presented, including asymptotic formulae for all its solutions. Since this equation represents a basic test equation for numerical analysis of delay differential equations of fractional type, the knowledge of its optimal stability conditions is crucial for investigations of numerical stability. Theoretical conclusions are supported by comments and comparisons distinguishing behaviour of a fractional-order delay equation from its integer-order pattern.

Název v anglickém jazyce

Fractional differential equations with a constant delay: statiblity and asymptotics of solutions

Popis výsledku anglicky

The paper discusses the stability and asymptotic behavior of fractional-order differential equations involving both delayed as well as nondelayed terms. As the main results, the necessary and sufficient conditions guaranteeing asymptotic stability of its zero solution are presented, including asymptotic formulae for all its solutions. Since this equation represents a basic test equation for numerical analysis of delay differential equations of fractional type, the knowledge of its optimal stability conditions is crucial for investigations of numerical stability. Theoretical conclusions are supported by comments and comparisons distinguishing behaviour of a fractional-order delay equation from its integer-order pattern.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

—

Svazek periodika

298

Číslo periodika v rámci svazku

April

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

336-350

Kód UT WoS článku

000392785400026

EID výsledku v databázi Scopus

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