Publication detail

Oscillatory and asymptotic properties of fractional delay differential equations

KISELA, T. ČERMÁK, J.

English title

Oscillatory and asymptotic properties of fractional delay differential equations

Type

WoS Article

Language

en

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 in English

Fractional delay differential equation; oscillation; asymptotic behaviour

Released

2019-02-22

Publisher

Texas State University

Location

601 UNIVERSITY DRIVE, SAN MARCOS, TX 78666 USA

ISSN

1072-6691

Journal

Electronic Journal of Differential Equations

Volume

2019

Number

33

Pages from–to

1–15

Pages count

15

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"
}