Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 389, Issue 14, Pages 2719-2724Publisher
ELSEVIER
DOI: 10.1016/j.physa.2010.02.030
Keywords
Variable-order model; Random-order model; Distributed-variable-order model; Multiple power-law
Categories
Funding
- National Basic Research Program of China (973 Program) [2010CB832702]
- National Natural Science Foundation of China [10774038]
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In this study, we investigate three kinds of fractional differential models (distributed-order 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. (C) 2010 Elsevier B.V. All rights reserved.
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