Fractional differential equations with a constant delay: statiblity and asymptotics of solutions
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Fractional differential equations with a constant delay: statiblity and asymptotics of solutions
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
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Volume of the periodical
298
Issue of the periodical within the volume
April
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
336-350
UT code for WoS article
000392785400026
EID of the result in the Scopus database
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