Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions
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 (α = (α1; α2); α1 > 0; α2 > 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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