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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; 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.
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    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; 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.
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    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; 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.