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Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations

Erik Andries·Sabir Umarov·Stanly Steinberg
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Abstract

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. Simulations based upon multi-term fractional order differential equations are performed.

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BibTeXRIS

Erik Andries, Sabir Umarov, Stanly Steinberg. 2006-06-30. Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations. https://arxiv.org/abs/math/0606797

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