Geodesic
Conformable special curves in Euclidean 3-space
Filomat, Tome 36 (2022) no. 14, p. 4687

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DOI

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.
DOI : 10.2298/FIL2214687H
Classification : 26A33, 53A04, 53A55
Keywords: Fractional derivative, Conformable derivative, Special curves, Euclidean space 
Aykut Has; Beyhan Yılmaz; Abdullah Akkurt; Hüsein Yıldırım. Conformable special curves in Euclidean 3-space. Filomat, Tome 36 (2022) no. 14, p. 4687 . doi: 10.2298/FIL2214687H
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     title = {Conformable special curves in {Euclidean} 3-space},
     journal = {Filomat},
     pages = {4687 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214687H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214687H/}
}
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