Khalili Golmankhaneh, AliAshrafi, SalehBaleanu, DumitruFernandez, Arran2020-05-172020-05-172020Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).15651339http://hdl.handle.net/20.500.12416/3885In 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.eninfo:eu-repo/semantics/closedAccessBrownian EquationFokker-Planck EquationFA-CalculusLangevin EquationBrownian Motion On Cantor SetsBrownian Motion on Cantor SetsArticle10.1515/ijnsns-2018-0384