Publication detail

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

KISELA, T.

Original Title

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

Type

journal article in Scopus

Language

English

Original Abstract

This paper summarizes and extends known results on qualitative behavior of solutions of autonomous fractional differential systems with a time delay. It utilizes two most common definitions of fractional derivative, Riemann–Liouville and Caputo one, for which optimal stability conditions are formulated via position of eigenvalues in the complex plane. Our approach covers differential systems of any non-integer orders of the derivative. The differences in stability and asymptotic properties 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

Authors

KISELA, T.

Released

30. 6. 2020

ISBN

1805-3610

Periodical

Mathematics for applications

Year of study

9

Number

1

State

Czech Republic

Pages from

31

Pages to

42

Pages count

12

URL

http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_kisela_final.pdf

BibTex

@article{BUT169633,
  author="Tomáš {Kisela}",
  title="On stability of delayed differential systems of arbitrary non-integer order",
  journal="Mathematics for applications",
  year="2020",
  volume="9",
  number="1",
  pages="31--42",
  doi="10.13164/ma.2020.03",
  issn="1805-3610",
  url="http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_kisela_final.pdf"
}