The Weyl–Marchaud fractional derivative of a type of self-affine functions
作者：
Highlights：
•
摘要
The linear relationship between the Box dimension of certain self-affine functions and orders of the Weyl–Marchaud fractional derivative has been proved. The corresponding relationship of the Besicovitch function has been explored under different conditions.
论文关键词：Weierstrass function,Besicovitch function,Self-affine function,Weyl–Marchaud fractional derivative,Box dimension
论文评审过程：Available online 6 March 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.01.077
