학술논문
A new method on Box dimension of Weyl-Marchaud fractional derivative of Weierstrass function.
Document Type
Journal
Author
Yao, Kui (PRC-PLAST) AMS Author Profile; Chen, Haotian (PRC-PLAST) AMS Author Profile; Peng, W. L. (PRC-PLAST) AMS Author Profile; Wang, Zekun (PRC-PLAST) AMS Author Profile; Yao, Jia (PRC-PLAST) AMS Author Profile; Wu, Yipeng (PRC-PLAST) AMS Author Profile
Source
Subject
26 Real functions -- 26A Functions of one variable
26A33Fractional derivatives and integrals
28Measure and integration -- 28A Classical measure theory
28A80Fractals
26A33
28
28A80
Language
English
Abstract
The authors use a new method to calculate the fractal dimensions of fractional calculus of some fractal functions. By this method, they obtain the Box dimension of the Weyl-Marchaud fractional derivative of order $\nu$ of the Weierstrass function.