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Space–time fractional diffusion equations and asymptotic behaviors of a coupled continuous time random walk model

✍ Scribed by Shi, Long; Yu, Zuguo; Mao, Zhi; Xiao, Aiguo; Huang, Hailan


Book ID
121312429
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
367 KB
Volume
392
Category
Article
ISSN
0378-4371

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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 α-stable Lévy distribution, 0 < α < 2. We use some relevant transformations of the independent variables x