期刊
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
卷 21, 期 6, 页码 1651-1658出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2018-0087
关键词
Box dimension; Riemann-Liouville fractional integral; variation
资金
- National Natural Science Foundation of China [11201230]
- Natural Science Foundation of Jiangsu Province [BK20161492]
- Fundamental Research Funds for the Central Universities [30917011340]
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].
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