ANALYSIS OF MIXED WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND BOX DIMENSIONS

DOI10.1142/S0218348X21501450zbMath1491.28003OpenAlexW3137468676MaRDI QIDQ5024997

Syed Abbas, S. Ajay Chandra

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21501450

zbMATH Keywords

box dimensionfractal interpolation functionHölder conditionWeyl-Marchaud fractional derivative

Mathematics Subject Classification ID

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

Related Items (17)

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Cites Work

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• Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation
• Box dimension and fractional integral of linear fractal interpolation functions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A note on Katugampola fractional calculus and fractal dimensions
• Bivariate functions of bounded variation: fractal dimension and fractional integral
• Fractal dimensions of fractional integral of continuous functions
• On a linearity between fractal dimension and order of fractional calculus in Hölder space
• Fractal Dimensions and Singularities of the Weierstrass Type Functions
• On Definitions of Bounded Variation for Functions of Two Variables
• BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS
• THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES
• FRACTAL DIMENSIONS OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF CERTAIN ONE-DIMENSIONAL FUNCTIONS
• THE EFFECTS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL ON THE BOX DIMENSION OF FRACTAL GRAPHS OF HÖLDER CONTINUOUS FUNCTIONS
• Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation
• FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS

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