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arxiv: math/0612698 · v1 · submitted 2006-12-22 · 🧮 math.CA

Random walk models associated with distributed fractional order differential equations

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keywords differentialequationsfractionalorderrandomdistributedmodelswalk
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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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