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http://dx.doi.org/10.4134/CKMS.2005.20.4.827

DIFFERENTIABILITY OF FRACTAL CURVES  

Kim, Tae-Sik (School of Computer and Multimedia Engineering Gyeongju University)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.4, 2005 , pp. 827-835 More about this Journal
Abstract
As a tool of measuring the irregularity of curve, fractal dimensions can be used. For an irregular function, fractional calculus are more available. However, to know its fractional differentiability which is related to its complexity is complicated one. In this paper, variants of the Hausdorff dimension and the packing dimension as well as the derivative order are defined and the relations between them are investigated so that the differentiability of fractal curve can be explained through its complexity.
Keywords
fractal dimension; fractional differentiable order;
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