On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function

K. Yao, Y.S. Liang and F. Zhang

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2538-2545

Abstract: This paper investigates the fractional derivative of a fractal function. It has been proven that there exists certain linear connection between the order of the Weyl-Marchaud fractional derivatives(WMFD) and the Hausdorff dimension of a fractal function. Graphs and numerical results further show this linear relationship.

Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2538-2545

DOI: 10.1016/j.chaos.2008.09.053

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