Brownian Motion on Cantor Sets
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Date
Journal Title
Journal ISSN
Volume Title
Publisher
Walter De Gruyter Gmbh
Access Rights
info:eu-repo/semantics/closedAccess
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
Keywords
F-alpha-calculus, Fokker-Planck equation, Brownian equation, Langevin equation
Journal or Series
International Journal of Nonlinear Sciences and Numerical Simulation
WoS Q Value
Scopus Q Value
Volume
21
Issue
3-4
