On the Connection Between the Order of Riemann-Liouville Fractional Calculus and Hausdorff Dimension of a Fractal Function
Year: 2016
Analysis in Theory and Applications, Vol. 32 (2016), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2016.v32.n3.6
Analysis in Theory and Applications, Vol. 32 (2016), Iss. 3 : pp. 283–290
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Fractional calculus Hausdorff dimension Riemann-Liouville fractional integral.