Random walk models associated with distributed fractional order differential equations

Details Random walk models associated with distributed fractional order differential equations Random walk models associated with distributed fractional order differential equations

2006-12-22

arxiv.org/abs/math/0612698v1

IMS Lecture Notes Monograph Series 2006, Vol. 51, 117-127

Mathematics

Classical Analysis and ODEs

Published at http://dx.doi.org/10.1214/074921706000000798 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/p

Scientific paper

10.1214/074921706000000798

In this paper the multi-dimensional random walk models governed by
distributed fractional order differential equations and multi-term fractional
order differential equations are constructed. The scaling limits of these
random walks to a diffusion process in the sense of distributions is proved.

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