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A LOCAL FRACTIONAL DERIVATIVE WITH APPLICATIONS TO FRACTAL RELAXATION AND DIFFUSION PHENOMENA
Journal article   Open access  Peer reviewed

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

Yang Zhao, Yan-Guang Cai and Xiao-Jun Yang
Thermal science, Vol.20(suppl. 3), pp.S723-S727
01/01/2016
DOI: https://doi.org/10.2298/TSCI16S3723Z

Abstract

Physical Sciences Science & Technology Thermodynamics
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.
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https://doi.org/10.2298/TSCI16S3723ZView
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