Fractional Calculus and Shannon Wavelet

Figure 2

Fractional derivative of the scaling functions (𝑑^𝜈/𝑑𝑥^𝜈)𝜑(𝑥) with upper limit 𝑁=4 at different values of 𝜈=0,1/5,2/5,3/5,4/5,1.