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

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1681-1702
Number of pages	22
Journal	Filomat
Volume	38
Issue number	5
DOIs	https://doi.org/10.2298/FIL2405681T
Publication status	Published - 2024

Bibliographical note

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

Keywords

Bertrand Curves
Fractional Derivative
Minkowski Space

Access to Document

10.2298/FIL2405681T

Cite this

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