The Lambert function method in qualitative analysis of fractional delay differential equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F23%3APU148572" target="_blank" >RIV/00216305:26210/23:PU148572 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s13540-023-00176-x" target="_blank" >https://link.springer.com/article/10.1007/s13540-023-00176-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13540-023-00176-x" target="_blank" >10.1007/s13540-023-00176-x</a>
Alternative languages
Result language
angličtina
Original language name
The Lambert function method in qualitative analysis of fractional delay differential equations
Original language description
We discuss an analytical method for qualitative investigations of linear fractional delay differential equations. This method originates from the Lambert function technique that is traditionally used in stability analysis of ordinary delay differential equations. Contrary to the existing results based on such a technique, we show that the method can result into fully explicit stability criteria for a linear fractional delay differential equation, supported by a precise description of its asymptotics. As a by-product of our investigations, we also state alternate proofs of some classical assertions that are given in a more lucid form compared to the existing proofs.
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
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fractional Calculus and Applied Analysis
ISSN
1311-0454
e-ISSN
1314-2224
Volume of the periodical
26
Issue of the periodical within the volume
4
Country of publishing house
BG - BULGARIA
Number of pages
21
Pages from-to
1545-1565
UT code for WoS article
001012130600003
EID of the result in the Scopus database
2-s2.0-85162030198