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Anomalous diffusion modeling by fractal and fractional derivatives

✍ Scribed by Wen Chen; Hongguang Sun; Xiaodi Zhang; Dean Korošak

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
582 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper makes an attempt to develop a fractal derivative model of anomalous diffusion. We also derive the fundamental solution of the fractal derivative equation for anomalous diffusion, which characterizes a clear power law. This new model is compared with the corresponding fractional derivative model in terms of computational efficiency, diffusion velocity, and heavy tail property. The merits and distinctions of these two models of anomalous diffusion are then summarized.

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