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.

引用

页码：773 / 777

页数：5

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