BOX DIMENSIONS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF HÖLDER CONTINUOUS MULTIVARIATE FUNCTIONS-Reference-Cited by-同舟云学术

BOX DIMENSIONS OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF HÖLDER CONTINUOUS MULTIVARIATE FUNCTIONS

Published:2020-09 Issue:06 Volume:28 Page:2050113
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

LEI JING¹^ORCID,LIU KANGJIE¹,DAI YINGZI¹

Affiliation:

1. School of Physics and Optoelectronic, Xidian University, Xi’an 710126, P. R. China

Abstract

If a continuous multivariate function satisfies a Lipschitz condition on its domain, Box dimension of its graph equals to the number of its arguments. Furthermore, Box dimension of the graph of its Riemann–Liouville fractional integral also equals to the number of its arguments.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20501133

Reference14 articles.

1. FRACTAL COMPLEXITY-BASED FEATURE EXTRACTION ALGORITHM OF COMMUNICATION SIGNALS

2. PATTERN RECOGNITION OF MINE MICROSEISMIC AND BLASTING EVENTS BASED ON WAVE FRACTAL FEATURES

3. EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN

4. On the Lipschitz condition in the fractal calculus

5. An equivalent definition of packing dimension and its application

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