Golmankhaneh, Ali KhaliliBaleanu, DumitruAshrafi, SalehBaleanu, DumitruFernandez, ArranMatematik2020-05-172020-05-172020Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).1565-13392191-0294https://doi.org/10.1515/ijnsns-2018-0384Ashrafi, Saleh/0000-0003-2426-3051In 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.eninfo:eu-repo/semantics/closedAccessF-Alpha-CalculusFokker-Planck EquationBrownian EquationLangevin EquationBrownian Motion On Cantor SetsBrownian Motion on Cantor SetsArticle213-427528110.1515/ijnsns-2018-03842-s2.0-85078347234WOS:000541915500005Q2Q3