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Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation

Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation
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Year:    2016

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2016.v32.n2.6

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 174–180

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    Fractional calculus box dimension bounded variation.

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