On Caputo fractional Bertrand curves in E3 and E31

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dc.authorid0000-0001-7106-0041
dc.authorid0000-0001-9126-8384
dc.contributor.authorTaşdemir, Merten_US
dc.contributor.authorCanfes, Elif Özkaraen_US
dc.contributor.authorUzun, Banuen_US
dc.date.accessioned2024-01-03T14:14:18Z
dc.date.available2024-01-03T14:14:18Z
dc.date.issued2024
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractIn this article, we examine Bertrand curves in E3 and E31 by using the Caputo fractional derivative which we call alpha-Bertrand Curves. First, we consider alpha-Bertrand curves in E3 and we give a characterization of them. Then, we study alpha-Bertrand curves in E31 and we prove the necessary and sufficient condition for a alpha-Bertrand curves in E31 by considering time like, space like and null curves. We also give the related examples by using Python.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationTaşdemir, M., Canfes, E. Ö. & Uzun, B. (2024). On Caputo fractional Bertrand curves in E3 and E31. Filomat, 38(5), 1681-1702. doi:10.2298/FIL2405681Ten_US
dc.identifier.endpage1702
dc.identifier.issn0354-5180
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85187890837
dc.identifier.scopusqualityQ3
dc.identifier.startpage1681
dc.identifier.urihttps://hdl.handle.net/11729/5841
dc.identifier.urihttp://dx.doi.org/10.2298/FIL2405681T
dc.identifier.volume38
dc.identifier.wosWOS:001126596900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorUzun, Banuen_US
dc.institutionauthorid0000-0001-9126-8384
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional derivativeen_US
dc.subjectBertrand curvesen_US
dc.subjectMinkowskien_US
dc.subjectDifferential geometryen_US
dc.titleOn Caputo fractional Bertrand curves in E3 and E31en_US
dc.typeArticleen_US

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