BOX DIMENSIONS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF HÖLDER CONTINUOUS MULTIVARIATE FUNCTIONS

DOI10.1142/S0218348X20501133zbMath1445.26005OpenAlexW3029012601MaRDI QIDQ5129924

Kangjie Liu, Yingzi Dai, Jing Lei

Publication date: 3 November 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20501133

zbMATH Keywords

box dimensionLipschitz conditionRiemann-Liouville fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items (2)

UPPER BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF FRACTAL FUNCTIONS ⋮ ANALYSIS ON WEYL–MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION

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• THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
• THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS
• ON HADAMARD FRACTIONAL CALCULUS
• Fractional derivatives of Weierstrass-type functions

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