Fractal models for luminescence probing of organized assemblies. Studies with respect to the nature of the assembly, the temperature, and the quencher concentration

Author(s):  
P. Lianos ◽  
G. Duportail
2017 ◽  
Vol 22 (0) ◽  
Author(s):  
Erik I. Broman ◽  
Johan Jonasson ◽  
Johan Tykesson

Fractals ◽  
2018 ◽  
Vol 26 (06) ◽  
pp. 1850094
Author(s):  
JIANSHE SUN

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.


Author(s):  
Allen Hunt ◽  
Robert Ewing ◽  
Behzad Ghanbarian
Keyword(s):  

Author(s):  
Giorgio Franceschetti ◽  
Daniele Riccio

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