The Lambert function method in qualitative analysis of fractional delay differential equations

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dc.contributor.authorČermák, Jancs
dc.contributor.authorKisela, Tomášcs
dc.contributor.authorNechvátal, Luděkcs
dc.coverage.issue4cs
dc.coverage.volume26cs
dc.date.issued2023-06-16cs
dc.description.abstractWe discuss an analytical method for qualitative investigations of linear fractional delay differential equations. This method originates from the Lambert function technique that is traditionally used in stability analysis of ordinary delay differential equations. Contrary to the existing results based on such a technique, we show that the method can result into fully explicit stability criteria for a linear fractional delay differential equation, supported by a precise description of its asymptotics. As a by-product of our investigations, we also state alternate proofs of some classical assertions that are given in a more lucid form compared to the existing proofs.en
dc.formattextcs
dc.format.extent1545-1565cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFractional Calculus and Applied Analysis. 2023, vol. 26, issue 4, p. 1545-1565.en
dc.identifier.doi10.1007/s13540-023-00176-xcs
dc.identifier.issn1311-0454cs
dc.identifier.orcid0000-0002-6884-917Xcs
dc.identifier.orcid0000-0002-9601-7071cs
dc.identifier.orcid0000-0003-0775-3438cs
dc.identifier.other184060cs
dc.identifier.researcheridD-2542-2014cs
dc.identifier.researcheridE-2881-2013cs
dc.identifier.researcheridD-2499-2014cs
dc.identifier.scopus35758804700cs
dc.identifier.scopus6603213643cs
dc.identifier.urihttp://hdl.handle.net/11012/213603
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofFractional Calculus and Applied Analysiscs
dc.relation.urihttps://link.springer.com/article/10.1007/s13540-023-00176-xcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1311-0454/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectFractional delay differential equation (primary)en
dc.subjectLambert functionen
dc.subjectStabilityen
dc.subjectAsymptotic behavioren
dc.titleThe Lambert function method in qualitative analysis of fractional delay differential equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-184060en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:48:54en
sync.item.modts2025.01.17 16:40:57en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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