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Some Characterizations of Curves with Fractional Derivatives in Higher Dimensional Euclidean Spaces

Meltem Öğrenmiş, Mehmet Bektaş


In this paper, curves are examined by using fractional derivatives in general. Especially, by considering the Caputo fractional derivative, the relations between the standard Frenet curvatures and fractional curvatures of curves are obtained. Then, the characterizations of some special curves are given.

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