Oscillatory and asymptotic properties of fractional delay differential equations
Date
2019-02-22
Authors
Cermak, Jan
Kisela, Tomas
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Fractional delay differential equation, Oscillation, Asymptotic behaviour
Citation
Čermák, J., & Kisela, T. (2019). Oscillatory and asymptotic properties of fractional delay differential equations. <i>Electronic Journal of Differential Equations, 2019</i>(33), pp. 1-15.
Rights
Attribution 4.0 International