Browsing by Author "Ashrafi, Saleh"
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Article 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; 56389In 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.Article Citation Count: Ashrafi, Saleh; Golmankhaneh, Ali Khalili; Baleanu, Dumitru (2017). "Generalized master equation, bohr’s model, and multipoles on fractals", Romanian Reports in Physic, Vol. 69, No. 4.Generalized master equation, bohr’s model, and multipoles on fractals(2017) Ashrafi, Saleh; Golmankhaneh, Ali Khalili; Baleanu, Dumitru; 56389In 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.Article Citation Count: Ashrafi, Saleh; Golmankhaneh, Ali Khalili; Baleanu, Dumitru, "Generalized master equation, Bohr's model, and multipoles on fractals", Romanian Reports In Physics, Vol.69, No.4, (2017).Generalized master equation, Bohr's model, and multipoles on fractals(Editura Academiei Romane, 2017) Ashrafi, Saleh; Golmankhaneh, Ali K.; Baleanu, Dumitru; 56389In 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.