ON FRACTAL SPACE-TIME AND FRACTIONAL CALCULUS

被引：96
|
作者：
Hu, Yue [1 ]
He, Ji-Huan [2 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China
[2] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China
来源：
THERMAL SCIENCE | 2016年 / 20卷 / 03期
关键词：
He's fractional derivative; Adomian's decomposition method; variational iteration method; exp-function method; fractional complex transform; fractional Fornberg-Whitham equation; PARTIAL-DIFFERENTIAL-EQUATIONS; SILKWORM COCOON HIERARCHY; HEAT-TRANSFER; NONLINEAR EQUATIONS; ASYMPTOTIC METHODS; COMPLEX TRANSFORM; WOOL FIBER; DIFFUSION; TERMS; MODEL;
D O I：
10.2298/TSCI1603773H
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
This paper gives an explanation of fractional calculus in fractal space-time. On observable scales, continuum models can be used, however, when the scale tends to a smaller threshold, a fractional model has to be adopted to describe phenomena in micro/nano structure. A time-fractional Fornberg-Whitham equation is used as an example to elucidate the physical meaning of the fractional order, and its solution process is given by the fractional complex transform.
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页码：773 / 777
页数：5
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