On the fractional calculus of Besicovitch function

Yongshun Liang

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2741-2747

Abstract: Relationship between fractional calculus and fractal functions has been explored. Based on prior investigations dealing with certain fractal functions, fractal dimensions including Hausdorff dimension, Box dimension, K-dimension and Packing dimension is shown to be a linear function of order of fractional calculus. Both Riemann–Liouville fractional calculus and Weyl–Marchaud fractional derivative of Besicovitch function have been discussed.

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:42:y:2009:i:5:p:2741-2747

DOI: 10.1016/j.chaos.2009.03.180

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