Abstract
The linear relationship between fractal dimensions of a type of generalized Weierstrass functions and the order of their fractional calculus has been proved. The graphs and numerical results given here further indicate the corresponding relationship.
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Supported by NSFC, grant 10171045, 10571084.
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Liang, Y., Su, W. Connection between the order of fractional calculus and fractional dimensions of a type of fractal functions. Anal. Theory Appl. 23, 354–362 (2007). https://doi.org/10.1007/s10496-007-0354-8
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DOI: https://doi.org/10.1007/s10496-007-0354-8