FRACTAL DIMENSIONS OF KATUGAMPOLA FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS SATISFYING HÖLDER CONDITION

DOI10.1142/S0218348X22500530zbMath1491.28005OpenAlexW4205698925MaRDI QIDQ5864137

W. L. Peng, Xia Zhang, Jia Yao, Kui Yao, Zekun Wang

Publication date: 3 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500530

zbMATH Keywords

potential theoryHausdorff dimensionHadamard fractional integralWeierstrass-type function with random phases

Mathematics Subject Classification ID

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

Related Items (1)

HÖLDER CONTINUITY AND BOX DIMENSION FOR THE MIXED RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL

Cites Work

• Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives
• A TYPE OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR FRACTIONAL CALCULUS
• THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
• DEFINITION AND CLASSIFICATION OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS WITH UNBOUNDED VARIATION
• THE HADAMARD FRACTIONAL CALCULUS OF A FRACTAL FUNCTION
• BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS
• A New Approach to Generalized Fractional Derivatives
• DIMENSION ANALYSIS OF CONTINUOUS FUNCTIONS WITH UNBOUNDED VARIATION
• CONSTRUCTION AND ANALYSIS OF A SPECIAL ONE-DIMENSIONAL CONTINUOUS FUNCTION
• BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS OF BOUNDED AND UNBOUNDED VARIATION
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