On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function
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Publication:602600
DOI10.1016/J.CHAOS.2008.09.053zbMath1198.26013OpenAlexW2059811821MaRDI QIDQ602600
Publication date: 5 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2008.09.053
Related Items (10)
A new method on box dimension of Weyl-Marchaud fractional derivative of Weierstrass function ⋮ Fractal dimensions of fractional integral of continuous functions ⋮ Control of Weierstrass–Mandelbrot Function Model with Morlet Wavelets ⋮ Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions ⋮ CONSTRUCTION OF NEW AFFINE AND NON-AFFINE FRACTAL INTERPOLATION FUNCTIONS THROUGH THE WEYL–MARCHAUD DERIVATIVE ⋮ Spontaneous activation under atrial fibrosis: a model using complex order derivatives ⋮ BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS ⋮ Katugampola fractional integral and fractal dimension of bivariate functions ⋮ Analytical properties of \((k,s)\)-Riemann-Liouville fractional integral and its fractal dimension ⋮ ANALYSIS ON WEYL–MARCHAUD FRACTIONAL DERIVATIVE FOR TYPES OF FRACTAL INTERPOLATION FUNCTION WITH FRACTAL DIMENSION
Cites Work
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- On the connection between the order of fractional calculus and the dimensions of a fractal function
- On the fractional calculus functions of a fractal function.
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- The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function
- The fractional derivatives of a fractal function
- Smooth Dynamics on Weierstrass Nowhere Differentiable Curves
- Connection between the order of fractional calculus and fractional dimensions of a type of fractal functions
- Fractal Dimensions and Singularities of the Weierstrass Type Functions
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