BOX DIMENSION AND MIXED FRACTIONAL CALCULUS OF FRACTAL INTERPOLATION SURFACES
This paper proposes a new method to calculate box dimension of the graph of bivariate continuous functions by using [Formula: see text]-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.
Authors
- Xianhui Wan (ORCID: https://orcid.org/0000-0002-4870-7369)
- Kui Yao (ORCID: https://orcid.org/0000-0002-1227-336X)
Institutions
- PLA Army Engineering University (CN)
Publication Details
- Journal
- Fractals
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1142/s0218348x25500781
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China