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
收藏
页码：517 / 524
页数：7
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