@Article{ATA-32-3, author = {}, title = {On the Connection Between the Order of Riemann-Liouville Fractional Calculus and Hausdorff Dimension of a Fractal Function}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {3}, pages = {283--290}, abstract = {

This paper investigates the fractal dimension of the fractional integrals of a fractal function. It has been proved that there exists some linear connection between the order of Riemann-Liouville fractional integrals and the Hausdorff dimension of a fractal function.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n3.6}, url = {https://global-sci.com/article/73931/on-the-connection-between-the-order-of-riemann-liouville-fractional-calculus-and-hausdorff-dimension-of-a-fractal-function} }