\(\mathcal{C}_\alpha\)-helices and \(\mathcal{C}_\alpha\)-slant helices in fractional differential geometry

DOI10.1007/s40065-024-00460-5MaRDI QIDQ6611203

Aykut Has, Beyhan Yilmaz

Publication date: 26 September 2024

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

slant helicesconformable curves

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Curves in Euclidean and related spaces (53A04)

Cites Work

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• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Mittag-Leffler functions and the truncated \(\mathcal {V}\)-fractional derivative
• A new definition of fractional derivative
• Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
• Evolutes and Involutes of Spatial Curves
• Geometry of surfaces with Caputo fractional derivatives and applications to incompressible two-dimensional flows
• Multi-variable conformable fractional calculus
• Applications of fractional calculus in equiaffine geometry: plane curves with fractional order
• Fractional Derivative Modeling in Mechanics and Engineering
• Special Fractional Curve Pairs with Fractional Calculus
• Frenet frame with respect to conformable derivative
• \(\mathcal{C}_{\alpha}\)-ruled surfaces respect to direction curve in fractional differential geometry

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