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
journal article in Web of Science
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.
English 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
22.02.2019
Publisher
Texas State University
Location
601 UNIVERSITY DRIVE, SAN MARCOS, TX 78666 USA
ISSN
1072-6691
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",
year="2019",
volume="2019",
number="33",
month="February",
pages="1--15",
publisher="Texas State University",
address="601 UNIVERSITY DRIVE, SAN MARCOS, TX 78666 USA",
issn="1072-6691"
}