Lattice Fractional Diffusion Equation of Random Order
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Date
2017
Journal Title
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Volume Title
Publisher
Wiley
Open Access Color
Green Open Access
No
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Abstract
The discrete fractional calculus is used to fractionalize difference equations. Simulations of the fractional logistic map unravel that the chaotic solution is conveniently obtained. Then a Riesz fractional difference is defined for fractional partial difference equations on discrete finite domains. A lattice fractional diffusion equation of random order is proposed to depict the complicated random dynamics and an explicit numerical formulae is derived directly from the Riesz difference. Copyright (C) 2015 John Wiley & Sons, Ltd.
Description
Xie, Heping/0000-0002-1686-7827; Wu, Guo-Cheng/0000-0002-1946-6770; Zeng, Shengda/0000-0003-1818-842X
Keywords
Discrete Fractional Calculus, Lattice Fractional Diffusion Equations, Variable Order, Riesz Difference, Diffusion, variable order, lattice fractional diffusion equations, Partial difference equations, Fractional partial differential equations, discrete fractional calculus, Riesz difference
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Wu, Guo-Cheng...et al. (2017). "Lattice fractional diffusion equation of random order", Mathematical Methods In The Applied Sciences, Vol.40, No:17, pp.6054-6060.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
5
Source
Mathematical Methods in the Applied Sciences
Volume
40
Issue
17
Start Page
6054
End Page
6060
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CrossRef : 5
Scopus : 5
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5
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4
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2
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