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Brownian Motion On Cantor Sets

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2020

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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.

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Brownian Equation, Fokker-Planck Equation, FA-Calculus, Langevin Equation

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Khalili Golmankhaneh, A.; Ashrafi, S.; Baleanu, D.; Fernandez, A.,"Brownian Motion On Cantor Sets",International Journal of Nonlinear Sciences and Numerical Simulation, (2020).

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International Journal of Nonlinear Sciences and Numerical Simulation

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