ESTIMATION OF FRACTAL DIMENSION OF FRACTIONAL CALCULUS OF THE HÖLDER CONTINUOUS FUNCTIONS

DOI10.1142/S0218348X20501236zbMath1501.26006OpenAlexW3043628827MaRDI QIDQ5085429

Yong Shun Liang

Publication date: 27 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20501236

zbMATH Keywords

box dimensionRiemann-Liouville fractional calculusHölder condition

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Hausdorff and packing measures (28A78)

Related Items (6)

SEVERAL SPECIAL FUNCTIONS IN FRACTALS AND APPLICATIONS OF THE FRACTAL IN MACHINE LEARNING ⋮ Vector-valued fractal functions: fractal dimension and fractional calculus ⋮ Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket ⋮ Dimensions of new fractal functions and associated measures ⋮ ON THE FRACTIONAL DERIVATIVE OF A TYPE OF SELF-AFFINE CURVES ⋮ UPPER BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF FRACTAL FUNCTIONS

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