Analysis of fractal dimension of mixed Riemann-Liouville integral

DOI10.1007/s11075-022-01290-2OpenAlexW4221001735WikidataQ114224279 ScholiaQ114224279MaRDI QIDQ2084248

Syed Abbas, S. Ajay Chandra

Publication date: 18 October 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.06648

zbMATH Keywords

bounded variationHausdorff dimensionbox dimensionRiemann-Liouville fractional integralHölder condition

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Fractional derivatives and integrals (26A33) Fractals (28A80) Hausdorff and packing measures (28A78) Measure and integration (28-XX)

Related Items (10)

ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES ⋮ Non-stationary \(\phi\)-contractions and associated fractals ⋮ Vector-valued fractal functions: fractal dimension and fractional calculus ⋮ Box dimension and fractional integrals of multivariate \(\alpha\)-fractal functions ⋮ Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket ⋮ Dimensions of new fractal functions and associated measures ⋮ Fractional operator associated with the fractal integral of A-fractal function ⋮ Variable order fractional calculus on \(\alpha\)-fractal functions ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ Bernstein super fractal interpolation function for countable data systems

Cites Work

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• On the dimension of the graph of the classical Weierstrass function
• The Weyl-Marchaud fractional derivative of a type of self-affine functions
• The relationship between the box dimension of the Besicovitch functions and the orders of their fractional calculus
• Variation and Minkowski dimension of fractal interpolation surface
• Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation
• Box dimension and fractional integral of linear fractal interpolation functions
• Fractal functions and interpolation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Hausdorff dimension of the graphs of the classical Weierstrass functions
• On the connection between the order of fractional calculus and the dimensions of a fractal function
• Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions
• Bivariate functions of bounded variation: fractal dimension and fractional integral
• Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
• Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
• On a linearity between fractal dimension and order of fractional calculus in Hölder space
• THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
• The Hausdorff dimension of graphs of Weierstrass functions
• On Definitions of Bounded Variation for Functions of Two Variables
• THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES

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