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Investigation of Fractional Order Genesio-Tesi System Using Laplace Transformation

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Özet

In this paper the fractional-order Genesio-Tesi chaotic system is investigated with Laplace transformation method. Genesio-Tesi system is a three-dimensional equation system with quadratic nonlinearity and is frequently used for exemplifying chaotic systems. In this study, Caputo fractional derivative is used to obtain the fractional system and Laplace transformation is applied in order to analyze the explicit solutions of the system.

Anahtar Kelimeler

Caputo derivativeGenesio-Tesi systemLaplace transform
RDL Kalıcı Bağlantı (PID)
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorBekiryazici, Zafer
dc.contributor.authorSengul, Suleyman
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:22:33.344607164Z
dc.date.available2026-10-22T10:22:33.344607164Z
dc.date.issued2025
dc.description.abstractIn this paper the fractional-order Genesio-Tesi chaotic system is investigated with Laplace transformation method. Genesio-Tesi system is a three-dimensional equation system with quadratic nonlinearity and is frequently used for exemplifying chaotic systems. In this study, Caputo fractional derivative is used to obtain the fractional system and Laplace transformation is applied in order to analyze the explicit solutions of the system.
dc.identifier.doi10.1007/978-3-031-82342-8_30
dc.identifier.endpage474
dc.identifier.issn2198-4182
dc.identifier.scopus2-s2.0-105008144824
dc.identifier.startpage463
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14318
dc.identifier.volume582
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofStudies in Systems, Decision and Control
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCaputo derivative
dc.subjectGenesio-Tesi system
dc.subjectLaplace transform
dc.titleInvestigation of Fractional Order Genesio-Tesi System Using Laplace Transformation
dc.typeBook Chapter
dspace.entity.typePublication
rdl.citation.openalex0
rdl.citation.scopus0
rdl.oa.statusclosed
rdl.source.indexSCOPUS