Differential Geometry of Curves in Euclidean 3-Space with Fractional Order

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dc.contributor.authorAydin, Muhittin Evren
dc.contributor.authorBektas, Mehmet
dc.contributor.authorOgrenmis, Alper Osman
dc.contributor.authorYokus, Asif
dc.date.accessioned2026-08-12T17:36:05Z
dc.date.issued2021
dc.departmentFırat Üniversitesi
dc.description.abstractIn this paper, for a given curve in the Euclidean 3-space R-3 we introduce new invariants such as arc-length, curvature and torsion with fractional-order and provide certain relations between these and the standart invariants. We obtain the Frenet-Serret formulas in R-3 and then construct the ways of determining a curve in R-2 and R-3 in terms of the new invariants. Several examples are also given by figures.
dc.identifier.doi10.36890/IEJG.751009
dc.identifier.endpage144
dc.identifier.issn1307-5624
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85108521969
dc.identifier.scopusqualityQ3
dc.identifier.startpage132
dc.identifier.trdizinid461849
dc.identifier.urihttps://doi.org/10.36890/IEJG.751009
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/461849
dc.identifier.urihttps://hdl.handle.net/11508/57798
dc.identifier.volume14
dc.identifier.wosWOS:000641562700012
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherInt Electronic Journal Geometry
dc.relation.ispartofInternational Electronic Journal of Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectFractional derivative
dc.subjectspace curve
dc.subjectfundamental theorem
dc.subjectcurvature
dc.subjecttorsion
dc.titleDifferential Geometry of Curves in Euclidean 3-Space with Fractional Order
dc.typeArticle

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