Katugampola fractional integral and fractal dimension of bivariate functions
From MaRDI portal
Publication:2044610
DOI10.1007/s00025-021-01475-6zbMath1477.28009arXiv2101.06093OpenAlexW3186538471MaRDI QIDQ2044610
Publication date: 10 August 2021
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.06093
Fractional derivatives and integrals (26A33) Fractals (28A80) Hausdorff and packing measures (28A78) Functions of bounded variation, generalizations (26A45)
Related Items (6)
Fractal dimension of graph of Katugampola fractional integral and some general characterizations ⋮ Construction of new fractal interpolation functions through integration method ⋮ A note on complex-valued fractal functions on the Sierpiński gasket ⋮ Fractional calculus for multivariate vector-valued function and fractal function ⋮ Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions ⋮ FURTHER DISCUSSION ABOUT FRACTIONAL DIFFERENTIABILITY OF CERTAIN CONTINUOUS FUNCTIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function
- New approach to a generalized fractional integral
- Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation
- Box dimension and fractional integral of linear fractal interpolation functions
- A review of definitions for fractional derivatives and integral
- A note on Katugampola fractional calculus and fractal dimensions
- Bivariate functions of bounded variation: fractal dimension and fractional integral
- Fractal dimensions of fractional integral of continuous functions
- On Definitions of Bounded Variation for Functions of Two Variables
This page was built for publication: Katugampola fractional integral and fractal dimension of bivariate functions
