THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS

DOI10.1142/S0218348X20500528zbMath1434.26017OpenAlexW2999117976WikidataQ126360281 ScholiaQ126360281MaRDI QIDQ5112686

Junru Wu

Publication date: 4 June 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20500528

zbMATH Keywords

box dimensionLipschitz conditionRiemann-Liouville fractional integralHölder condition

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Fractional graph theory, fuzzy graph theory (05C72)

Related Items (14)

On a linearity between fractal dimension and order of fractional calculus in Hölder space ⋮ R-L ALGORITHM: AN APPROXIMATION ALGORITHM FOR FRACTAL SIGNALS BASED ON FRACTIONAL CALCULUS ⋮ SOME PROPERTIES FOR THE RIEMANN–LIOUVILLE FRACTAL CALCULUS OF CONTINUOUS FUNCTIONS ⋮ RELATIONSHIP OF UPPER BOX DIMENSION BETWEEN CONTINUOUS FRACTAL FUNCTIONS AND THEIR RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ⋮ ON BOX DIMENSION OF HADAMARD FRACTIONAL INTEGRAL (PARTLY ANSWER FRACTAL CALCULUS CONJECTURE) ⋮ HÖLDER CONTINUITY AND BOX DIMENSION FOR THE MIXED RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ⋮ FRACTAL DIMENSION VARIATION OF CONTINUOUS FUNCTIONS UNDER CERTAIN OPERATIONS ⋮ ON THE BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND LINEARITY EFFECT ⋮ A geometric based connection between fractional calculus and fractal functions ⋮ BOX DIMENSIONS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF HÖLDER CONTINUOUS MULTIVARIATE FUNCTIONS ⋮ Approximation with continuous functions preserving fractal dimensions of the Riemann-Liouville operators of fractional calculus ⋮ UPPER BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF FRACTAL FUNCTIONS ⋮ THE ESTIMATES OF HÖLDER INDEX AND THE BOX DIMENSION FOR THE HADAMARD FRACTIONAL INTEGRAL ⋮ ANALYSIS OF MIXED WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND BOX DIMENSIONS

Cites Work

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• ON HADAMARD FRACTIONAL CALCULUS
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