Published January 2008 | Version v1
Journal article Metadata-only

The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function

Creators

  • 1. PLA University of Science and Technology, Nanjing 210093 (China)
  • 2. Institute of Mathematics, Chuzhou University, Chuzhou 239000 (China)
  • 3. Department of Math and Computer Science, Nanjing Normal University, Nanjing 210093 (China)
  • 4. School of Science, Nanjing University of Science and Technology, Nanjing 210093 (China)

Description

The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function have been calculated. And the linear relationship between the fractal dimensions of graphs of the Weierstrass-type function and the orders of their Weyl-Marchaud fractional derivative has been get. Graphs and numerical results of certain examples have further certificated this interesting relationship

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2007.04.017

Additional details

Identifiers

DOI
10.1016/j.chaos.2007.04.017;
PII
S0960-0779(07)00326-8;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
35
Journal Issue
1
Journal Page Range
p. 106-115
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39047990
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIMENSIONS; FRACTALS; GRAPH THEORY; WEIERSTRASS FUNCTIONS
Descriptors DEC
FUNCTIONS; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.