THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Yang Zhao

,

Yan-Guang Cai

,

Xiao-Jun Yang

A LOCAL FRACTIONAL DERIVATIVE WITH APPLICATIONS TO FRACTAL RELAXATION AND DIFFUSION PHENOMENA

ABSTRACT
In this paper, a new application of the fractal complex transform via a local fractional derivative is presented. The solution for the fractal relaxation and time-fractal diffusion equations are obtained based on the sup-exponential functions defined on Cantor sets.
KEYWORDS
time-fractal diffusion equation, fractal relaxation, Cantor sets, sup-exponential function
PAPER SUBMITTED: 2016-02-01
PAPER REVISED: 2016-03-10
PAPER ACCEPTED: 2016-03-26
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3723Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S723 - S727]
REFERENCES
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  7. Su, W. H., et al., Fractional Complex Transform Method for Wave Equations on Cantor Sets within Local Fractional Differential Operator, Advances in Difference Equations, 2013 (2013), 1, pp. 1-8
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  9. Crank, J., The Mathematics of Diffusion, Oxford University Press, Oxford, UK, 1979
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A local fractional derivative with applications to fractal relaxation and diffusion phenomena

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