On exact and discretized stability of a linear fractional delay differential equation
type: Item
instance of: scholarly article
title: On exact and discretized stability of a linear fractional delay differential equation
zbMATH Open document ID: 1450.65060
author: Jan Čermák
author: Luděk Nechvátal
published in: Applied Mathematics Letters
publication date: 2020-04-07T00:00:00Z
review text: The authors discuss the exact and discretized stability of a linear functional delay differential equation. The basic stability criterion to test one-term fractional delay differential equation with a complex coefficient is given. Some definitions, Laplace transform and boundary locus technique are introduced. A fractional analogue of the Levin-May stability condition from the area of discrete population dynamics is presented. In addition, the authors point out that contrary to the integer-order case the backward Euler discretization of the underlying fractional delay differential equations is not \(\tau\)-stable.
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 65L07
zbMATH DE Number: 7187418
zbMATH Keywords: fractional delay differential and difference equation
zbMATH Keywords: asymptotic stability
zbMATH Keywords: numerical stability
Wikidata QID: Q115360792
reviewed by: Seenith Sivasundaram
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106296
OpenAlex ID: W3006883745
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DOI: 10.1016/J.AML.2020.106296
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description: scientific article; zbMATH DE number 7187418