Detail publikace
Oscillatory and asymptotic properties of fractional delay differential equations
KISELA, T. ČERMÁK, J.
Anglický název
Oscillatory and asymptotic properties of fractional delay differential equations
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
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.
Anglický abstrakt
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.
Klíčová slova anglicky
Fractional delay differential equation; oscillation; asymptotic behaviour
Vydáno
22.02.2019
Nakladatel
Texas State University
Místo
601 UNIVERSITY DRIVE, SAN MARCOS, TX 78666 USA
ISSN
1072-6691
Ročník
2019
Číslo
33
Strany od–do
1–15
Počet stran
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"
}