2022 # Special Fractional Curve Pairs with Fractional Calculus

**Abstract:** In this study, the effect of fractional derivatives, whose application area is increasing day by day, on curve pairs is investigated. As it is known, there are not many studies on a geometric interpretation of fractional calculus. When examining the effect of fractional analysis on a curve, the Conformable fractional derivative that fits the algebraic structure of differential geometry derivative is used. This effect is examined with the help of examples consistent with the theory and visualized for different …

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“…( 31), ( 33), ( 34) and ( 35) are considered together with Eqs. ( 9), ( 10) and (11), the C α −coefficients of the C α −second fundamental form, can be seen as follows…”

confidence: 99%

“…( 31), ( 33), ( 34) and ( 35) are considered together with Eqs. ( 9), ( 10) and (11), the C α −coefficients of the C α −second fundamental form, can be seen as follows…”

confidence: 99%

“…Gozutok U. et al are analyzed the basic concepts of curves and Frenet frame in fractional order with the help of conformable local fractional derivative [8]. On the other hand Has A. and Yılmaz B. are investigated some special curves and curve pairs in fractional order with the help of conformable Frenet frame [11,12]. In addition, electromagnetic fields and magnetic curves are investigated under fractional derivative by Has A. and Yılmaz B.…”

confidence: 99%

“…This approach is given by milici and Machado, [34]. In [35,36], Has et al investigated the many special curves by using conformable fractional derivatives. Electromagnetic curves and some special magnetic curves with the help of fractional derivatives, [37][38][39].…”

confidence: 99%