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Generalized fractional diffusion equations for accelerating subdiffusion and truncated Lévy flights

✍ Scribed by Chechkin, A. V.; Gonchar, V. Yu.; Gorenflo, R.; Korabel, N.; Sokolov, I. M.

Book ID
124063053
Publisher
The American Physical Society
Year
2008
Tongue
English
Weight
577 KB
Volume
78
Category
Article
ISSN
1063-651X

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Stretched-Gaussian asymptotics of the truncated Lévy flights for the diffusion in nonhomogeneous media
✍ Tomasz Srokowski 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 875 KB

The Lévy, jumping process, defined in terms of the jumping size distribution and the waiting time distribution, is considered. The jumping rate depends on the process value. The fractional diffusion equation, which contains the variable diffusion coefficient, is solved in the diffusion limit. That s