Discrete Fractional Diffusion Equation of Chaotic Order

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Abstract

Discrete fractional calculus is suggested in diffusion modeling in porous media. A variable-order fractional diffusion equation is proposed on discrete time scales. A function of the variable order is constructed by a chaotic map. The model shows some new random behaviors in comparison with other variable-order cases.

Description

Zeng, Shengda/0000-0003-1818-842X; Xie, Heping/0000-0002-1686-7827; Wu, Guo-Cheng/0000-0002-1946-6770

Keywords

Discrete Fractional Calculus, Fractional Diffusion Equations, Chaotic Order, Second-order parabolic equations, chaotic order, Fractional partial differential equations, discrete fractional calculus, fractional diffusion equations

Fields of Science

0103 physical sciences, 01 natural sciences

Citation

Wu, Guo-Cheng...et al. (2016). "Discrete Fractional Diffusion Equation of Chaotic Order", Chaos, Vol. 26, No. 1.

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OpenCitations Citation Count
17

Volume

26

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1

Start Page

1650013

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CrossRef : 2

Scopus : 26

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Mendeley Readers : 10

SCOPUS™ Citations

26

checked on May 29, 2026

Web of Science™ Citations

22

checked on May 29, 2026

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3

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1.6033

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