BOX DIMENSION AND MIXED FRACTIONAL CALCULUS OF FRACTAL INTERPOLATION SURFACES

Xuanlin Wan () and Kui Yao
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Xuanlin Wan: Army Engineering, University of PLA, Nanjing 211101, P. R. China
Kui Yao: Army Engineering, University of PLA, Nanjing 211101, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 09, 1-9

Abstract: This paper proposes a new method to calculate box dimension of the graph of bivariate continuous functions by using 𠜀-partition and gets exact box dimension of Fractal Interpolation Surfaces (FISs) with equal-spaced interpolation points. Furthermore, we investigate the exact linear connection between the order of fractional integral or derivative and box dimension of FISs.

Keywords: Iterated Function System; Fractal Interpolation Surfaces; 𠜀-Partition; Box Dimension; Fractional Calculus (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500781

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