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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Ashrafi, Saleh"

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Ashrafi, Saleh"

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  • Brownian Motion On Cantor Sets 
    Khalili Golmankhaneh, Ali; Ashrafi, Saleh; Baleanu, Dumitru; Fernandez, Arran (2020-01-11)
    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 ...
  • Generalized master equation, Bohr's model, and multipoles on fractals 
    Ashrafi, Saleh; Golmankhaneh, Ali K.; Baleanu, Dumitru (Editura Academiei Romane, 2017)
    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. ...
  • Generalized master equation, bohr’s model, and multipoles on fractals 
    Ashrafi, Saleh; Golmankhaneh, Ali Khalili; Baleanu, Dumitru (2017)
    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 ...