On Caputo fractional Bertrand curves in E3 and E31

Mert Tasdemir; Elif Özkara Canfes; Banu Uzun

doi:10.2298/FIL2405681T

On Caputo fractional Bertrand curves in E³ and E³₁

Mert Tasdemir^*, Elif Özkara Canfes, Banu Uzun

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Atıf (Scopus)

Özet

In this article, we examine Bertrand curves in E³ and E³₁ by using the Caputo fractional derivative which we call α-Bertrand Curves. First, we consider α-Bertrand curves in E³ and we give a characterization of them. Then, we study α-Bertrand curves in E³₁ and we prove the necessary and sufficient condition for a α-Bertrand curves in E³₁ by considering time like, space like and null curves. We also give the related examples by using Python.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1681-1702
Sayfa sayısı	22
Dergi	Filomat
Hacim	38
Basın numarası	5
DOI'lar	https://doi.org/10.2298/FIL2405681T
Yayın durumu	Yayınlandı - 2024

Bibliyografik not

Publisher Copyright:
© 2024, University of Nis. All rights reserved.

Belgeye Erişim

10.2298/FIL2405681T

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On Caputo fractional Bertrand curves in E3 and E31",

abstract = "In this article, we examine Bertrand curves in E3 and E31 by using the Caputo fractional derivative which we call α-Bertrand Curves. First, we consider α-Bertrand curves in E3 and we give a characterization of them. Then, we study α-Bertrand curves in E31 and we prove the necessary and sufficient condition for a α-Bertrand curves in E31 by considering time like, space like and null curves. We also give the related examples by using Python.",

keywords = "Bertrand Curves, Fractional Derivative, Minkowski Space",

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AU - Canfes, Elif Özkara

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N2 - In this article, we examine Bertrand curves in E3 and E31 by using the Caputo fractional derivative which we call α-Bertrand Curves. First, we consider α-Bertrand curves in E3 and we give a characterization of them. Then, we study α-Bertrand curves in E31 and we prove the necessary and sufficient condition for a α-Bertrand curves in E31 by considering time like, space like and null curves. We also give the related examples by using Python.

AB - In this article, we examine Bertrand curves in E3 and E31 by using the Caputo fractional derivative which we call α-Bertrand Curves. First, we consider α-Bertrand curves in E3 and we give a characterization of them. Then, we study α-Bertrand curves in E31 and we prove the necessary and sufficient condition for a α-Bertrand curves in E31 by considering time like, space like and null curves. We also give the related examples by using Python.

KW - Bertrand Curves

KW - Fractional Derivative

KW - Minkowski Space

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