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On Caputo fractional Bertrand Curves in E3 and E31

Name: On Caputo fractional Bertrand Curves in E3 and E31
Keywords: Bertrand curves, Differential geometry, Fractional derivative, Minkowski

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2024 Turkey English Publisher:National Library of SerbiaJournal:Filomat, volume 38, pages 1,681-1,702 (issn: 0354-5180, eissn: 2406-0933,

Authors: Taşdemir, Mert; Canfes, Elif Özkara; Uzun, Banu;

doi: 10.2298/fil2405681t

handle: 11729/5841

On Caputo fractional Bertrand Curves in E3 and E31

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Abstract

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

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Turkey

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Keywords

Bertrand curves, Differential geometry, Fractional derivative, Minkowski

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