Publication detail

Oscillatory and asymptotic properties of fractional delay differential equations

KISELA, T. ČERMÁK, J.

Original Title

Oscillatory and asymptotic properties of fractional delay differential equations

Type

journal article in Web of Science

Language

English

Original Abstract

This article discusses the oscillatory and asymptotic properties of a test delay differential system involving a non-integer derivative order. We formulate corresponding criteria via explicit necessary and sufficient conditions that enable direct comparisons with the results known for classical integer-order delay differential equations. In particular, we shall observe that oscillatory behaviour of solutions of delay system with non-integer derivatives embodies quite different features compared to the classical results known from the integer-order case.

Keywords

Fractional delay differential equation; oscillation; asymptotic behaviour

Authors

KISELA, T.; ČERMÁK, J.

Released

22. 2. 2019

Publisher

Texas State University

Location

601 UNIVERSITY DRIVE, SAN MARCOS, TX 78666 USA

ISBN

1072-6691

Periodical

Electronic Journal of Differential Equations

Year of study

2019

Number

33

State

United States of America

Pages from

1

Pages to

15

Pages count

15

URL

https://ejde.math.txstate.edu/Volumes/2019/33/cermak.pdf

BibTex

@article{BUT159360,
  author="Tomáš {Kisela} and Jan {Čermák}",
  title="Oscillatory and asymptotic properties of fractional delay differential equations",
  journal="Electronic Journal of Differential Equations",
  year="2019",
  volume="2019",
  number="33",
  pages="1--15",
  issn="1072-6691",
  url="https://ejde.math.txstate.edu/Volumes/2019/33/cermak.pdf"
}