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arXiv · 2105.01885

Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions

Subhash Chandra·Syed Abbas
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Abstract

The goal of this article is to study the box dimension of the mixed Katugampola fractional integral of two-dimensional continuous functions on [0; 1]X[0; 1]. We prove that the box dimension of the mixed Katugampola fractional integral having fractional order (\alpha = (\alpha_1; \alpha_2); \alpha_1 > 0; \alpha_2 > 0) of two-dimensional continuous functions on [0; 1]X[0; 1] is still two. Moreover, the results are also established for the mixed Hadamard fractional integral.

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Subhash Chandra, Syed Abbas. 2021-05-05. Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions. https://arxiv.org/abs/2105.01885

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