The concept of physical and fractal dimension II. The differential calculus in dimensional spaces

Authors
Rybaczuk, M Kedzia, A Zielinski, W
Citation
M. Rybaczuk et al., The concept of physical and fractal dimension II. The differential calculus in dimensional spaces, CHAOS SOL F, 12(13), 2001, pp. 2537-2552
Citations number
13
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
12
Issue
13
Year of publication
2001
Pages
2537 - 2552
Database
ISI
SICI code
0960-0779(200110)12:13<2537:TCOPAF>2.0.ZU;2-M
Abstract
The projective dimensional analysis based on the projective extension of sc aling group and projective dimensional function is studied. The differentia l calculus corresponding to geometry of dimensional spaces is constructed a nd examined. At the next step we explore the projective extension of dimens ional derivatives. Simple fractal models of various processes with changing fractal dimension illustrate the proposed methods. (C) 2001 Elsevier Scien ce Ltd. All rights reserved.