文章基本信息

标题：Heat Transfer in Discontinuous Media
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作者：Yang Xiao-Jun
期刊名称：Advances in Mechanical Engineering and its Applications
印刷版ISSN：2167-6380
出版年度：2012
卷号：1
期号：3
页码：47-53
语种：English
出版社：World Science Publisher
摘要：From the fractal geometry point of view, the interpretations of local fractional derivative and local fractional integration are pointed out in this paper. It is devoted to heat transfer in discontinuous media derived from local fractional derivative. We investigate the Fourier law and heat conduction equation (also local fractional instantaneous heat conduct equation) in fractal orthogonal system based on cantor set, and extent them. These fractional differential equations are described in local fractional derivative sense. The results are efficiently developed in discontinuous media.
关键词：Local fractional derivative;Local fractional integrals;Fourier law;Local fractional heat conduction equation;Cantor set