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Fractional differential models for anomalous diffusion

✍ Scribed by HongGuang Sun; Wen Chen; Changpin Li; YangQuan Chen

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
298 KB
Volume
389
Category
Article
ISSN
0378-4371

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✦ Synopsis

In this study, we investigate three kinds of fractional differential models (distributedorder model, variable-order model and random-order model) for characterization of anomalous diffusion. The characteristics, physical advantages and potential applications of each model are highlighted. The numerical simulations also validate our analytical and comparison results. Furthermore, a generalized distributed-variable-order model and a more generalized distributed-variable-random-order model are proposed to combine the advantages of distributed-order model, variable-order model and random-order model.

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