Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Correlation structure of fractional Pearson diffusions

Leonenko, Nikolai N. ORCID:, Meerschaert, Mark M. and Sikorskii, Alla 2013. Correlation structure of fractional Pearson diffusions. Computers & Mathematics with Applications 66 (5) , pp. 737-745. 10.1016/j.camwa.2013.01.009

Full text not available from this repository.


The stochastic solution to a diffusion equations with polynomial coefficients is called a Pearson diffusion. If the first time derivative is replaced by a Caputo fractional derivative of order less than one, the stochastic solution is called a fractional Pearson diffusion. This paper develops an explicit formula for the covariance function of a fractional Pearson diffusion in steady state, in terms of Mittag-Leffler functions. That formula shows that fractional Pearson diffusions are long-range dependent, with a correlation that falls off like a power law, whose exponent equals the order of the fractional derivative.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Pearson diffusion; Fractional derivative; Correlation function; Mittag-Leffler function
Publisher: Elsevier
ISSN: 0898-1221
Last Modified: 24 Oct 2022 10:38

Citation Data

Cited 41 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item