ABSTRACT

This chapter gives a novel derivation of the von Kármán spectrum based on fractional Langevin equation. This chapter exhibits that a time series that follows the von Kármán spectrum can be taken as a specifically fractional Ornstein–Uhlenbeck process with the fractal dimension 5/3. Besides, we propose a relationship between two famous spectra, namely, the Kolmogorov’s spectrum and the von Kármán’s.