A Computational Fractional Signal Derivative Method

Figure 2

Fractional derivatives for the underdamped harmonic oscillator using (a) Grünwald–Letnikov and (b) Riemann–Liouville (b) approaches. And fractional derivatives for the “sine-cosine function” using (c) Grünwald–Letnikov and (d) Riemann–Liouville approaches.

(a)

(b)

(c)

(d)