Brownian Motion on Cantor Sets.

Authors :: Khalili Golmankhaneh, Ali
Ashrafi, Saleh
Baleanu, Dumitru
Fernandez, Arran
Source :: International Journal of Nonlinear Sciences & Numerical Simulation; Jun2020, Vol. 21 Issue 3/4, p275-281, 7p
Publication Year :: 2020
Abstract: In this paper, we have investigated the Langevin and Brownian equations on fractal time sets using F<superscript>α</superscript>-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. [ABSTRACT FROM AUTHOR]

Subjects :: BROWNIAN motion
FOKKER-Planck equation
FRACTALS
LANGEVIN equations
CANTOR sets
WIENER processes
TIME management

Language :: English
ISSN :: 15651339
Volume :: 21
Issue :: 3/4
Database :: Complementary Index
Journal :: International Journal of Nonlinear Sciences & Numerical Simulation
Publication Type :: Academic Journal
Accession number :: 144478299
Full Text :: https://doi.org/10.1515/ijnsns-2018-0384