Conformable special curves in Euclidean 3-space

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 s...

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Veröffentlicht in:Filomat 2022, Vol.36 (14), p.4687-4698
Hauptverfasser: Has, Aykut, Yılmaz, Beyhan, Akkurt, Abdullah, Yıldırım, Hüseyin
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
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Zusammenfassung: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.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2214687H