Fractal dimension of graph of Katugampola fractional integral and some general characterizations

DOI10.1007/s41478-021-00335-4zbMath1500.26007OpenAlexW3182277572MaRDI QIDQ2124720

Yanyan Li

Publication date: 11 April 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-021-00335-4

zbMATH Keywords

bounded variationHausdorff dimensionbox dimensionKatugampola fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractals (28A80) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Hausdorff and packing measures (28A78)

Related Items (1)

Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions

Cites Work

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• New approach to a generalized fractional integral
• Box dimension and fractional integral of linear fractal interpolation functions
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• A note on Katugampola fractional calculus and fractal dimensions
• Katugampola fractional integral and fractal dimension of bivariate functions
• Bivariate functions of bounded variation: fractal dimension and fractional integral
• ANALYSIS OF MIXED WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND BOX DIMENSIONS

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