Random fractal models of heterogeneity: The Lévy-stable approach

1995 ◽  
Vol 27 (7) ◽  
pp. 813-830 ◽  
Author(s):  
Scott Painter
Keyword(s):  
Fractal Models ◽  
Random Fractal

scholarly journals The existence phase transition for two Poisson random fractal models

2017 ◽  
Vol 22 (0) ◽  
Author(s):  
Erik I. Broman ◽  
Johan Jonasson ◽  
Johan Tykesson
Keyword(s):  
Phase Transition ◽  
Fractal Models ◽  
Random Fractal

Fractal and stochastic geometry inference for breast cancer: a case study with random fractal models and Quermass-interaction process

2015 ◽  
Vol 34 (18) ◽  
pp. 2636-2661 ◽  
Author(s):  
Philipp Hermann ◽  
Tomáš Mrkvička ◽  
Torsten Mattfeldt ◽  
Mária Minárová ◽  
Kateřina Helisová ◽  
...  
Keyword(s):  
Breast Cancer ◽  
Stochastic Geometry ◽  
Interaction Process ◽  
Fractal Models ◽  
Random Fractal

ANALYTICAL APPROXIMATE SOLUTIONS OF (N + 1)-DIMENSIONAL FRACTAL HARRY DYM EQUATIONS

Fractals ◽  
2018 ◽  
Vol 26 (06) ◽  
pp. 1850094
Author(s):  
JIANSHE SUN
Keyword(s):  
Approximate Solutions ◽  
Travelling Wave ◽  
Cantor Sets ◽  
Travelling Wave Solutions ◽  
Fractional Partial Differential Equations ◽  
Transform Method ◽  
Fractional Complex Transform ◽  
Fractal Models ◽  
Differential Transform ◽  
Harry Dym Equation

The new fractal models of the [Formula: see text]-dimensional and [Formula: see text]-dimensional nonlinear local fractional Harry Dym equation (HDE) on Cantor sets are derived and the analytical approximate solutions of the above two new models are obtained by coupling the fractional complex transform via local fractional derivative (LFD) and local fractional reduced differential transform method (LFRDTM). Fractional complex transform for functions of [Formula: see text]-dimensional variables is generalized and the theorems of [Formula: see text]-dimensional LFRDTM are supplementary extended. The travelling wave solutions of the fractal HDE show that the proposed LFRDTM is effective and simple for obtaining approximate solutions of nonlinear local fractional partial differential equations.

Fractal Models of Porous Media

2014 ◽  
pp. 103-129 ◽  
Author(s):  
Allen Hunt ◽  
Robert Ewing ◽  
Behzad Ghanbarian
Keyword(s):  
Porous Media ◽  
Fractal Models

Random fractal surface analysis of disordered organic thin films

2017 ◽  
Vol 623 ◽  
pp. 147-156 ◽  
Author(s):  
Y.L. Kong ◽  
S.V. Muniandy ◽  
K. Sulaiman ◽  
M.S. Fakir
Keyword(s):  
Thin Films ◽  
Surface Analysis ◽  
Organic Thin Films ◽  
Fractal Surface ◽  
Random Fractal
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