Browsing by Author "Khalili Golmankhaneh, Ali"

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Citation - WoS: 2
Citation - Scopus: 3
Brownian Motion on Cantor Sets
(Walter de Gruyter Gmbh, 2020) Ashrafi, Saleh; Baleanu, Dumitru; Fernandez, Arran; Golmankhaneh, Ali Khalili; Khalili Golmankhaneh, Ali
In 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.
Citation - WoS: 4
Citation - Scopus: 4
Fractional Odd-Dimensional Mechanics
(Springer international Publishing Ag, 2011) Golmankhaneh, Alireza Khalili; Baleanu, Dumitru; Baleanu, Mihaela Cristina; Golmankhaneh, Ali Khalili; Khalili Golmankhaneh, Ali
The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is based on extending the standard velocities to the fractional ones. Fractional Nambu mechanics may be used for nonintegrable systems with memory. Further, Lagrangian which is generate fractional Nambu equations is defined.