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Discrete and Continuous Random Walk Models for Space-Time Fractional Diffusion

โœ Scribed by Rudolf Gorenflo; Alessandro Vivoli; Francesco Mainardi


Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
228 KB
Volume
38
Category
Article
ISSN
0924-090X

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โœ E.A. Abdel-Rehim; R. Gorenflo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 894 KB

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