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A random walk solution for fractional diffusion equations

โœ Scribed by Li, X.; Zielinski, D.P.; Voller, V.R.


Book ID
121753308
Publisher
Emerald Group Publishing Limited
Year
2013
Tongue
English
Weight
314 KB
Volume
23
Category
Article
ISSN
0961-5539

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In this article, we discuss the solution of the space-fractional diffusion equation with and without central linear drift in the Fourier domain and show the strong connection between it and the ฮฑ-stable Lรฉvy distribution, 0 < ฮฑ < 2. We use some relevant transformations of the independent variables x