Title of article :
The concept of physical and fractal dimension II. The differential calculus in dimensional spaces
Author/Authors :
Marek Rybaczuk، نويسنده , , Witold Zieli?ski، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2001
Abstract :
The projective dimensional analysis based on the projective extension of scaling group and projective dimensional function is studied. The differential calculus corresponding to geometry of dimensional spaces is constructed and examined. At the next step we explore the projective extension of dimensional derivatives. Simple fractal models of various processes with changing fractal dimension illustrate the proposed methods.
Journal title :
Chaos, Solitons and Fractals
Journal title :
Chaos, Solitons and Fractals