Browsing by Author "Ashrafi, Saleh"

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Brownian Motion On Cantor Sets
(2020) Baleanu, Dumitru; 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.
Generalized master equation, bohr’s model, and multipoles on fractals
(2017) Baleanu, Dumitru; Golmankhaneh, Ali Khalili; Baleanu, Dumitru; 56389
In this manuscript, we extend the Fα-calculus by suggesting theorems analogous to the Green’s and the Stokes’ ones. Utilizing the Fα-calculus, the classical multipole moments are generalized to fractal distributions. In addition, the generalized model for the Bohr’s energy loss involving heavy charged particles is given. © 2017, Editura Academiei Romane. All Rights Reserved.
Generalized master equation, Bohr's model, and multipoles on fractals
(Editura Academiei Romane, 2017) Baleanu, Dumitru; Golmankhaneh, Ali K.; Baleanu, Dumitru; 56389
In this manuscript, we extend the F-alpha-calculus by suggesting theorems analogous to the Green's and the Stokes' ones. Utilizing the F-alpha-calculus, the classical multipole moments are generalized to fractal distributions. In addition, the generalized model for the Bohr's energy loss involving heavy charged particles is given.