The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function

K. Yao, Y.S. Liang and J.X. Fang

Chaos, Solitons & Fractals, 2008, vol. 35, issue 1, 106-115

Abstract: The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function have been calculated. And the linear relationship between the fractal dimensions of graphs of the Weierstrass-type function and the orders of their Weyl-Marchaud fractional derivative has been get. Graphs and numerical results of certain examples have further certificated this interesting relationship.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:1:p:106-115

DOI: 10.1016/j.chaos.2007.04.017

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