Brownian Motion On Cantor Sets
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Date
2020
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Publisher
Walter de Gruyter Gmbh
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Abstract
In this paper, we have investigated the Langevin and Brownian equations on fractal time sets using F-alpha-calculus and shown that the mean square displacement is not varied linearly with time. We have also generalized the classical method of deriving the Fokker Planck equation in order to obtain the Fokker-Planck equation on fractal time sets.
Description
Ashrafi, Saleh/0000-0003-2426-3051
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Keywords
F-Alpha-Calculus, Fokker-Planck Equation, Brownian Equation, Langevin Equation
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Citation
Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).
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Q2
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Volume
21
Issue
3-4
Start Page
275
End Page
281