Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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DIFFERENTIABILITY OF FRACTAL CURVES

  • Kim, Tae-Sik (School of Computer and Multimedia Engineering Gyeongju University)
  • Published : 2005.10.01
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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.

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References

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