CONVERTING FRACTIONAL DIFFERENTIAL EQUATIONS INTO PARTIAL DIFFERENTIAL EQUATIONS

被引：121
作者：
He, Ji-Huan [1 ]
Li, Zheng-Biao [2 ]
机构：
[1] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China
[2] Qujing Normal Univ, Coll Math & Informat Sci, Qujing, Yunnan, Peoples R China
来源：
THERMAL SCIENCE | 2012年 / 16卷 / 02期
基金：
中国国家自然科学基金;
关键词：
modified Riemann-Liouville derivative; time-fractional heat conduction equation; fractional KdV equation; COMPLEX TRANSFORM;
D O I：
10.2298/TSCI110503068H
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A transform is suggested in this paper to convert fractional differential equations with the modified Riemann-Liouville derivative into partial differential equations, and it is concluded that the fractional order in fractional differential equations is equivalent to the fractal dimension.
引用
收藏
页码：331 / 334
页数：4
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