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Solutions for a generalized fractional anomalous diffusion equation

โœ Scribed by Long-Jin Lv; Jian-Bin Xiao; Lin Zhang; Lei Gao

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
612 KB
Volume
225
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, we investigate the solutions for a generalized fractional diffusion equation that extends some known diffusion equations by taking a spatial time-dependent diffusion coefficient and an external force into account, which subjects to the natural boundaries and the generic initial condition. We obtain explicit analytical expressions for the probability distribution and study the relation between our solutions and those obtained within the maximum entropy principle by using the Tsallis entropy.

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