Fractional Order Calculus: Basic Concepts and Engineering Applications

Figure 2

Podlubny fractional order derivative interpretation. $f(t)=t$ and $\alpha =0.3$ evaluated in the interval $[0,3]$. The fractional derivative is the projection of the area below the functions over a nonlinear time scale $g(\tau )$, with a deformation parameter $\alpha$ (order of the derivative).