Fractional Derivative Graph of an Exponential Function

cults3d

This is a three dimensional graph of e^x, with one axis representing the Riemann-Liouville fractional derivative order ranging from 0 to 1. The x-axis ranges from 0.05 to 1; the fractional derivative of e^x approaches infinity as x approaches 0, hence the axis starts at 0.05. The Riemann-Liouville fractional derivative is continuous with the respect to the order of the derivative, so this graph is nice and smooth.