Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 481, Issue -, Pages 276-283Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2017.04.054
Keywords
Fractional derivative of variable-order; Laplace transform; Fourier transform; Anomalous diffusion
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Funding
- State Key Research Development Program of the People's Republic of China [2016YFC0600705]
- Priority Academic Program Development of the Jiangsu Higher Education Institutions of the People's Republic of China [PAPD2014]
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In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Laplace and Fourier transforms are analyzed and the results for the anomalous diffusion equations of variable order are discussed. The new formulation is efficient in modeling a class of concentrations in the complex transport process. (C) 2017 Elsevier B.V. All rights reserved.
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