Oscillatory and asymptotic properties of fractional delay differential equations
| dc.contributor.author | Cermak, Jan | |
| dc.contributor.author | Kisela, Tomas | |
| dc.date.accessioned | 2021-11-01T17:24:50Z | |
| dc.date.available | 2021-11-01T17:24:50Z | |
| dc.date.issued | 2019-02-22 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14742 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional delay differential equation | |
| dc.subject | Oscillation | |
| dc.subject | Asymptotic behaviour | |
| dc.title | Oscillatory and asymptotic properties of fractional delay differential equations | |
| dc.type | Article |