Explicit solutions to fractional diffusion equations via Generalized Gamma Convolution
Probability
2012-06-14 v2
Abstract
In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations involving the adjoint operators of a square Bessel process and a Bessel process.
Cite
@article{arxiv.1004.2852,
title = {Explicit solutions to fractional diffusion equations via Generalized Gamma Convolution},
author = {Mirko D'Ovidio},
journal= {arXiv preprint arXiv:1004.2852},
year = {2012}
}