THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Wei Xu

,

Wen Chen

,

Ying-Jie Liang

,

Jose Weberszpil

A SPATIAL STRUCTURAL DERIVATIVE MODEL FOR ULTRASLOW DIFFUSION

ABSTRACT
This study investigates the ultraslow diffusion by a spatial structural derivative, in which the exponential function ex is selected as the structural function to construct the local structural derivative diffusion equation model. The analytical solution of the diffusion equation is a form of Biexponential distribution. Its corresponding mean squared displacement is numerically calculated, and increases more slowly than the logarithmic function of time. The local structural derivative diffusion equation with the structural function ex in space is an alternative physical and mathematical modeling model to characterize a kind of ultraslow diffusion.
KEYWORDS
ultraslow diffusion, spatial structural derivative, structural function, exponential function, Biexponential distribution
PAPER SUBMITTED: 2017-03-10
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-05-20
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1121X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S121 - S127]
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A spatial structural derivative model for ultraslow diffusion

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