Article ID Journal Published Year Pages File Type
1893979 Chaos, Solitons & Fractals 2008 10 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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