• čeština
    • English
    • русский
    • Deutsch
    • français
    • polski
    • українська
  • English 
    • čeština
    • English
    • русский
    • Deutsch
    • français
    • polski
    • українська
  • Login
View Item 
  •   Repository Home
  • Časopisy
  • Mathematics for Applications
  • 2020/1
  • View Item
  •   Repository Home
  • Časopisy
  • Mathematics for Applications
  • 2020/1
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

On stability of delayed differential systems of arbitrary non-integer order

Thumbnail
View/Open
ma_9_1_kisela_final.pdf (795.9Kb)
Date
2020
Author
Kisela, Tomáš
Altmetrics
10.13164/ma.2020.03
Metadata
Show full item record
Abstract
This paper summarizes and extends known results on qualitative behaviorof solutions of autonomous fractional differential systems with a time delay. Itutilizes two most common definitions of fractional derivative, Riemann–Liouvilleand Caputo one, for which optimal stability conditions are formulated via positionof eigenvalues in the complex plane. Our approach covers differential systems ofany non-integer orders of the derivative. The differences in stability and asymptoticproperties of solutions induced by the type of derivative are pointed out as well.
Keywords
fractional delay differential system, stability, asymptotic behavior, Riemann–Liouville derivative, Caputo derivative
Persistent identifier
http://hdl.handle.net/11012/195180
Document type
Peer reviewed
Document version
Final PDF
Source
Mathematics for Applications. 2020 vol. 9, č. 1, s. 31-42. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_kisela_final.pdf
DOI
10.13164/ma.2020.03
Collections
  • 2020/1 [6]
Citace PRO

Portal of libraries | Central library on Facebook
DSpace software copyright © 2002-2015  DuraSpace
Contact Us | Send Feedback | Theme by @mire NV
 

 

Browse

All of repositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

LoginRegister

Statistics

View Usage Statistics

Portal of libraries | Central library on Facebook
DSpace software copyright © 2002-2015  DuraSpace
Contact Us | Send Feedback | Theme by @mire NV