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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
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" }