Geometry of hypersurfaces in Euclidean 4-space with Caputo fractional derivatives

The aim of this paper is to generalize the paper in [7] in 4-dimensional Euclidean space. We define and calculate the geometries of hypersurface in an Euclidean four space using the Caputo fractional derivative. Using the fractional calculus we give the geometrics of the considered hypersurface. We give some example using the graphs of some functions in ℝ3.