On Caputo fractional Bertrand curves in E3 and E31
Citation
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/FIL2405681TAbstract
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.