DNA Curve with Conformal Fractional Derivative

Abstract

To better understand the differential geometry in fractional derivatives, we wanted to examine the effect of the fractional derivative on the curves. For this reason, we considered conformal fractional derivatives, which are more useful in differential geometry. In this present, we searched on DNA model with conformal fractional derivative in Euclidean 3-space. We found the conformal Frenet vectors and the conformal curvatures of the spherical image of the DNA curve. Later, we compared the results between the conformal fractional derivative and the classical derivative.