期刊
PHYSICS LETTERS A
卷 377, 期 28-30, 页码 1696-1700出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2013.04.012
关键词
Heat-conduction equation; Damped wave equation; Local fractional derivatives; Cantor set
资金
- PAPD (Priority Academic Program Development of Jiangsu Higher Education Institutions)
- Project for Six Kinds of Top Talents in Jiangsu Province, China [ZBZZ-035]
In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems. (c) 2013 Published by Elsevier B.V.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据