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Browsing by Author "Khalili Golmankhaneh, Ali"

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    Citation Count: Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).
    Brownian Motion On Cantor Sets
    (2020) Khalili Golmankhaneh, Ali; Ashrafi, Saleh; Baleanu, Dumitru; Fernandez, Arran; 56389
    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.