On the fractional calculus functions of a fractal function.
type: Item
instance of: scholarly article
title: On the fractional calculus functions of a fractal function.
zbMATH Open document ID: 1046.28008
author: Kui Yao
author: Su Weiyi
author: S. P. Zhou
published in: Applied Mathematics. Series B (English Edition)
publication date: 2002-01-01T00:00:00Z
review text: The authors introduce a new type of functions by the combination of fractional calculus with fractal functions and they discuss then some properties, in particular, the dimension of this function.
reviewed by: Hua Su
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1877157
zbMATH Keywords: fractal function
zbMATH Keywords: fractional calculus
zbMATH Keywords: box dimension
zbMATH Keywords: Hausdorff dimension
MaRDI profile type: Publication
full work available at URL: s11766-996-0001-8
OpenAlex ID: W1984643647
cites work: Q3995301
cites work: On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
cites work: On Weierstrass-like functions and random recurrent sets
cites work: On the Weierstrass-Mandelbrot fractal function
cites work: Fractal Dimensions and Singularities of the Weierstrass Type Functions
cites work: Q4712716
cites work: Q3141902
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Fractional Brownian Motions, Fractional Noises and Applications
cites work: THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
DOI: 10.1007/S11766-996-0001-8
description: scientific article; zbMATH DE number 1877157