On Caputo fractional Bertrand curves in E3 and E31

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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
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