Browsing by Author "Ashrafi, Saleh"

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Citation - WoS: 2
Citation - Scopus: 3
Brownian Motion On Cantor Sets
(Walter de Gruyter Gmbh, 2020) Golmankhaneh, Ali Khalili; Baleanu, Dumitru; Ashrafi, Saleh; Baleanu, Dumitru; Fernandez, Arran; 56389; Matematik
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.
Generalized master equation, bohr’s model, and multipoles on fractals
(2017) Baleanu, Dumitru; Golmankhaneh, Ali Khalili; Baleanu, Dumitru; 56389; Matematik
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.
Citation - WoS: 2
Citation - Scopus: 2
Generalized master equation, Bohr's model, and multipoles on fractals
(Editura Acad Romane, 2017) Ashrafi, Saleh; Baleanu, Dumitru; Golmankhaneh, Ali Khalili; Baleanu, Dumitru; 56389; Matematik
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.