FRACTIONAL EQUIAFFINE CURVATURES OF CURVES IN 3-DIMENSIONAL AFFINE SPACE
| dc.contributor.author | Aydin, Muhittin Evren | |
| dc.contributor.author | Kaya, Seyma | |
| dc.date.accessioned | 2026-08-12T16:15:29Z | |
| dc.date.issued | 2023 | |
| dc.department | Fırat Üniversitesi | |
| dc.description.abstract | In this study, we investigate the equiaffine invariants of a parametrized curve in the 3-dimensional affine space R3 by using a simplification of Caputo fractional deriva-tive. We introduce the so-called fractional equiaffine arclength function for a non-degenerate parametrized curve, providing the notions of fractional equiaffine frame and curvatures. Fur-thermore, we give the relations between the fractional and standard equiaffine curvatures. © 2023, Bayram Sahin. All rights reserved. | |
| dc.description.sponsorship | FUBAP, (FF.21.05); Scientific Research Projects Coordination Unit of Firat University | |
| dc.identifier.endpage | 82 | |
| dc.identifier.issn | 2636-7467 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-85171247311 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 67 | |
| dc.identifier.uri | https://hdl.handle.net/11508/43730 | |
| dc.identifier.volume | 6 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Bayram Sahin | |
| dc.relation.ispartof | International Journal of Maps in Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_Scopus_20260511 | |
| dc.subject | Affine differential geometry; Caputo fractional derivative; Equiaffine arclength; Equiaffine curvature | |
| dc.title | FRACTIONAL EQUIAFFINE CURVATURES OF CURVES IN 3-DIMENSIONAL AFFINE SPACE | |
| dc.type | Article |
