@Article{ATA-32-174, author = {L. Mu, K. Yao, Y. S. Liang and J. Wang}, title = {Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {2}, pages = {174--180}, abstract = {

We know that the Box dimension of $f(x)\in C^1[0,1]$ is 1. In this paper, we prove that the Box dimension of continuous functions with bounded variation is still 1. Furthermore, Box dimension of Weyl fractional integral of above function is also 1.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n2.6}, url = {http://global-sci.org/intro/article_detail/ata/4663.html} }