Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions

被引：0
|
作者：
Yong Shun Liang
机构：
[1] Nanjing University of Science and Technology,Institute of Science
来源：
Fractional Calculus and Applied Analysis | 2018年 / 21卷
关键词：
Primary 26A30; Secondary 28A33; Box dimension; Riemann-Liouville fractional integral; variation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The present paper investigates fractal dimension of fractional integral of continuous functions whose fractal dimension is 1 on [0, 1]. For any continuous functions whose Box dimension is 1 on [0, 1], Riemann-Liouville fractional integral of these functions of any positive order has been proved to still be 1-dimensional continuous functions on [0, 1].
引用
收藏
页码：1651 / 1658
页数：7
相关论文
共 50 条
12345