Fractional differential models for anomalous diffusion

HongGuang Sun, Wen Chen, Changpin Li and YangQuan Chen

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 14, 2719-2724

Abstract: 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.

Keywords: Variable-order model; Random-order model; Distributed–variable-order model; Multiple power-law (search for similar items in EconPapers)
Date: 2010
References: View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:14:p:2719-2724

DOI: 10.1016/j.physa.2010.02.030

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