Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus

被引：0

作者：

Qi Zhang

机构：

[1] Nanjing University of Aeronautics and Astronautics,Faculty of Science

来源：

Acta Mathematica Sinica, English Series | 2014年 / 30卷

关键词：

Box dimension; Hausdorff dimension; fractional integral; fractal function; 26A33; 28A80; 37F35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A one-dimensional continuous function of unbounded variation on [0, 1] has been constructed. The length of its graph is infinite, while part of this function displays fractal features. The Box dimension of its Riemann-Liouville fractional integral has been calculated.

引用

页码：517 / 524

页数：7

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