A NEW FRACTIONAL CURVATURE OF CURVES USING THE CAPUTO’S FRACTIONAL DERIVATIVE

López F.R.; Rubio O. · Advanced Mathematical Models and Applications (2023)

Resumen

In this work, the authors presented a new definition of fractional curvature of plane curves when the fractional derivative is in the Caputo sense. This new curvature is based on the behavior of the orthogonal projection of the integer derivative of the fractional derivative vector of the curve, on the vector normal to the curve. The goal of our research is to show that our fractional curvature belongs to the intrinsic geometry of the curve; since it is invariant under isometries.

Instituciones: Universidad Nacional de Trujillo