Brownian Motion On Cantor Sets
No Thumbnail Available
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper, we have investigated the Langevin and Brownian equations on fractal time sets using F α-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
Brownian Equation, Fokker-Planck Equation, FA-Calculus, Langevin Equation
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).
WoS Q
Scopus Q
Source
International Journal of Nonlinear Sciences and Numerical Simulation