SOME PROPERTIES FOR THE RIEMANN–LIOUVILLE FRACTAL CALCULUS OF CONTINUOUS FUNCTIONS

DOI10.1142/S0218348X21502480zbMath1500.26008OpenAlexW3193714788WikidataQ114072780 ScholiaQ114072780MaRDI QIDQ5082109

Long Tian

Publication date: 15 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21502480

zbMATH Keywords

rectifiableRiemann-Liouville fractal derivativeRiemann-Liouville fractal integralthe box dimension

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Cites Work

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• New approach to a generalized fractional integral
• Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A review of definitions of fractional derivatives and other operators
• Fractal dimensions of fractional integral of continuous functions
• Some remarks on one-dimensional functions and their Riemann-Liouville fractional calculus
• Connection between the order of fractional calculus and fractional dimensions of a type of fractal functions
• UPPER BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF FRACTAL FUNCTIONS
• Riemann-Liouville fractional calculus of 1-dimensional continuous functions
• THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS

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