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Stochastic representation of fractional Bessel-Riesz motion

Anh, V. V., Leonenko, Nikolai and Sikorskii, A. 2017. Stochastic representation of fractional Bessel-Riesz motion. Chaos, Solitons & Fractals 102 , pp. 135-139. 10.1016/j.chaos.2017.04.039

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Abstract

This paper derives the stochastic solution of a Cauchy problem for the distribution of a fractional diffusion process. The governing equation involves the Bessel-Riesz derivative (in space) to model heavy tails of the distribution, and the Caputo-Djrbashian derivative (in time) to depicts the memory of the diffusion process. The solution is obtained as Brownian motion with time change in terms of the Bessel-Riesz subordinator on the inverse stable subordinator. This stochastic solution, named fractional Bessel-Riesz motion, provides a method to simulate a large class of stochastic motions with memory and heavy tails.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Elsevier
ISSN: 0960-0779
Date of First Compliant Deposit: 17 July 2019
Date of Acceptance: 24 April 2017
Last Modified: 02 Aug 2017 08:22
URI: http://orca.cf.ac.uk/id/eprint/100450

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