Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions
Classical Analysis and ODEs
2021-05-06 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2105.01885,
title = {Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions},
author = {Subhash Chandra and Syed Abbas},
journal= {arXiv preprint arXiv:2105.01885},
year = {2021}
}
Comments
10 pages. Submitted in a journal