Diffusion on Middle-ξ Cantor Sets

Diffusion on Middle-ξ Cantor Sets

In this paper, we study Cζ-calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions. Functions with fractal support are not differentiable or integrable in terms of standard calculus, so we must involve local...

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Bibliographic Details
Main Authors: Alireza Khalili Golmankhaneh, Arran Fernandez, Ali Khalili Golmankhaneh, Dumitru Baleanu
Format: Article
Language:English
Published: MDPI AG 2018-07-01
Series:Entropy
Subjects:
Hausdorff dimension
middle-ξ Cantor sets
staircase function
Cζ-calculus
diffusion on fractal
random walk
Online Access:http://www.mdpi.com/1099-4300/20/7/504

Internet

http://www.mdpi.com/1099-4300/20/7/504

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