A generalization of fractional equiaffine curvatures of plane curves

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dc.contributor.authorOgrenmis, Meltem
dc.date.accessioned2026-08-12T17:42:14Z
dc.date.issued2026
dc.departmentFırat Üniversitesi
dc.description.abstractIn this study, we deal with equiaffine plane curves by considering a general local fractional derivative. First, the concepts of alpha-equiaffine arc length and alpha-equiaffine curvature are introduced. In the sense of fractional calculus, equiaffine Frenet formulas and an analog of the fundamental theorem are reestablished. Finally, plane curves with constant fractional equiaffine curvature are described.
dc.identifier.doi10.1142/S0219887825502354
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue9
dc.identifier.orcid0000-0002-2626-0543
dc.identifier.scopus2-s2.0-105009001471
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219887825502354
dc.identifier.urihttps://hdl.handle.net/11508/59655
dc.identifier.volume23
dc.identifier.wosWOS:001512791400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectFractional derivative
dc.subjectequiaffine plane curves
dc.subjectfundamental theorem
dc.subjectequiaffine arc length
dc.subjectequiaffine curvature
dc.titleA generalization of fractional equiaffine curvatures of plane curves
dc.typeArticle

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