On Fractional Geometry of Curves

Abstract

Fractional Differential Geometry of curves is discussed, with the help of a new fractional derivative, the Λ-fractional derivative, with the corresponding Λ-fractional space. Λ-Fractional derivative completely conforms with the demands of Differential Topology, for the existence of a differential. Therefore Fractional Differential Geometry is established in that Λ-space. The results are pulled back to the initial space.

Keywords

• Λ-fractional derivative
• Λ-fractional space
• Λ-fractional differential geometry
• Λ-fractional tangent
• Λ-fractional curvature
• Λ-fractional focal curve