Filomat 2022 Volume 36, Issue 14, Pages: 4687-4698
https://doi.org/10.2298/FIL2214687H
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Conformable special curves in Euclidean 3-space
Has Aykut (Department of Mathematics, Faculty of Science, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey), ahas@ksu.edu.tr
Yılmaz Beyhan (Department of Mathematics, Faculty of Science, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey), beyhanyilmaz@ksu.edu.tr
Akkurt Abdullah (Department of Mathematics, Faculty of Science, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey), abdullahmat@gmail.com
Yıldırım Hüseyin (Department of Mathematics, Faculty of Science, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey), hyildir@ksu.edu.tr
In this study, the effect of fractional derivatives on curves, whose
application area is increasing day by day, is investigated. While
investigating this effect, the conformable fractional derivative, which best
suits the algebraic structure of differential geometry, is selected. As a
result, many special curves and Frenet frame previously obtained using
classical derivatives have been redefined with the help of conformable
fractional derivatives.
Keywords: Fractional derivative, Conformable derivative, Special curves, Euclidean space
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