On Caputo fractional Bertrand curves in E3 and E31
Yükleniyor...
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Fractional derivative, Bertrand curves, Minkowski, Differential geometry
Kaynak
Filomat
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
38
Sayı
5
Künye
Taşdemir, M., Canfes, E. Ö. & Uzun, B. (2024). On Caputo fractional Bertrand curves in E3 and E31. Filomat, 38(5), 1681-1702. doi:10.2298/FIL2405681T
