On the Katugampola fractional integral and dimensional analysis of the fractal basin boundary for a random dynamical system
type: Item
instance of: scholarly article
title: On the Katugampola fractional integral and dimensional analysis of the fractal basin boundary for a random dynamical system
zbMATH Open document ID: 1548.26008
author: Q6114680
author: Yongshun Liang
published in: Physica D
publication date: 2024-09-06T00:00:00Z
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37C45
zbMATH DE Number: 7908460
zbMATH Keywords: Katugampola fractional integral
zbMATH Keywords: potential theory
zbMATH Keywords: fractal dimension
zbMATH Keywords: fractal basin boundary
zbMATH Keywords: random dynamical systems
zbMATH Keywords: Weierstrass-type function with random phases
MaRDI profile type: Publication
cites work: The box dimension of self-affine graphs and repellers
cites work: Smooth Dynamics on Weierstrass Nowhere Differentiable Curves
cites work: The Lyapunov dimension of a nowhere differentiable attracting torus
cites work: On the Weierstrass-Mandelbrot fractal function
cites work: Sets of fractional dimensions V: On dimensional numbers of some continuous curves.
cites work: The packing measure of the graphs and level sets of certain continuous functions
cites work: Hausdorff dimension of the graphs of the classical Weierstrass functions
cites work: Q5186444
cites work: The Hausdorff dimension of graphs of Weierstrass functions
cites work: On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
cites work: The Hausdorff Dimension of the Graphs of Continuous Self-Affine Functions
cites work: On the Hausdorff Dimension of Some Graphs
cites work: On the Hausdorff dimension of some fractal sets
cites work: THE RELATIONSHIP BETWEEN FRACTIONAL CALCULUS AND FRACTALS
cites work: Fractional Differentiation in the Self‐Affine Case. V ‐ The Local Degree of Differentiability
cites work: Fractional derivatives of Weierstrass-type functions
cites work: A physically based connection between fractional calculus and fractal geometry
cites work: Box dimensions of Riemann-Liouville fractional integrals of continuous functions of bounded variation
cites work: Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
cites work: The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function
cites work: The Weyl-Marchaud fractional derivative of a type of self-affine functions
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q4438574
cites work: Box Dimension of Weyl Fractional Integral of Continuous Functions with Bounded Variation
cites work: ESTIMATION OF FRACTAL DIMENSION OF WEYL FRACTIONAL INTEGRAL OF CERTAIN CONTINUOUS FUNCTIONS
cites work: Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
cites work: THE HADAMARD FRACTIONAL CALCULUS OF A FRACTAL FUNCTION
cites work: On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function
cites work: Q4643010
cites work: On the Connection between the Order of Riemann-Liouvile Fractional Calculus and Hausdorff Dimension of a Fractal Function
cites work: A geometric based connection between fractional calculus and fractal functions
cites work: Q3141902
cites work: Q3864730
cites work: New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies
cites work: Spontaneous symmetry breaking and ghost states supported by the fractional \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger equation
cites work: Dynamics of fractional \(N\)-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrödinger equations
cites work: Fractional dispersive models and applications. Recent developments and future perspectives
cites work: New relationships connecting a class of fractal objects and fractional integrals in space
cites work: A review of definitions of fractional derivatives and other operators
cites work: General fractional integrals and derivatives and their applications
cites work: New approach to a generalized fractional integral
cites work: A New Approach to Generalized Fractional Derivatives
cites work: A note on Katugampola fractional calculus and fractal dimensions
cites work: Katugampola fractional integral and fractal dimension of bivariate functions
cites work: Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions
cites work: Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions
cites work: Fractal dimension of graph of Katugampola fractional integral and some general characterizations
cites work: FRACTAL DIMENSIONS OF KATUGAMPOLA FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS SATISFYING HÖLDER CONDITION
cites work: Fractal geometry. Mathematical foundations and applications
cites work: Q4740120
cites work: Techniques in fractal geometry
cites work: On two special classes of fractal surfaces with certain Hausdorff and Box dimensions
cites work: Q5526189
DOI: 10.1016/J.PHYSD.2024.134289
description: scientific article; zbMATH DE number 7908460