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

2021/05/05 by Subhash Chandra, Syed Abbas, Chandra, Subhash +1 · 1 citation
Mathematics · #26A33 #28A80 #31A10 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Meromorphic and Entire Functions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2105.01885

openalex publication_date 2021/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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