WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Author: search.filters.author.Golmankhaneh, Ali KhaliliCOAR Access Rights: search.filters.coarAccessRights.metadata only access

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Now showing 1 - 7 of 7
  • Article
    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; 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.
  • Article
    Citation - WoS: 19
    Citation - Scopus: 25
    Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line
    (Springer/plenum Publishers, 2013) Golmankhaneh, Ali Khalili; Baleanu, Dumitru; Golmankhaneh, Alireza Khalili
    A discontinuous media can be described by fractal dimensions. Fractal objects has special geometric properties, which are discrete and discontinuous structure. A fractal-time diffusion equation is a model for subdiffusive. In this work, we have generalized the Hamiltonian and Lagrangian dynamics on fractal using the fractional local derivative, so one can use as a new mathematical model for the motion in the fractal media. More, Poisson bracket on fractal subset of real line is suggested.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Brownian Motion on Cantor Sets
    (Walter de Gruyter Gmbh, 2020) Ashrafi, Saleh; Baleanu, Dumitru; Fernandez, Arran; Golmankhaneh, Ali Khalili; Khalili Golmankhaneh, Ali
    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.
  • Article
    Citation - WoS: 20
    Citation - Scopus: 28
    About Schrodinger Equation on Fractals Curves Imbedding in R <sup>3</Sup>
    (Springer/plenum Publishers, 2015) Golmankhaneh, Ali Khalili; Baleanu, Dumitru; Golmankhaneh, Alireza Khalili
    In this paper we introduced the quantum mechanics on fractal time-space. In a suggested formalism the time and space vary on Cantor-set and Von-Koch curve, respectively. Using Feynman path method in quantum mechanics and F (alpha) -calculus we find SchrA << dinger equation on on fractal time-space. The Hamiltonian and momentum fractal operator has been indicated. More, the continuity equation and the probability density is given in view of F (alpha) -calculus.
  • Article
    Structure of Magnetic Field Lines
    (Elsevier Science Bv, 2012) Golmankhaneh, Alireza Khalili; Jazayeri, Seyed Masud; Baleanu, Dumitru; Golmankhaneh, Ali Khalili
    In this paper the Hamiltonian structure of magnetic lines is studied in many ways. First it is used vector analysis for defining the Poisson bracket and Casimir variable for this system. Second it is derived Pfaffian equations for magnetic field lines. Third, Lie derivative and derivative of Poisson bracket is used to show structure of this system. Finally, it is shown Nambu structure of the magnetic field lines. (C) 2011 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 14
    Hamiltonian Structure of Fractional First Order Lagrangian
    (Springer/plenum Publishers, 2010) Golmankhaneh, Alireza Khalili; Baleanu, Dumitru; Baleanu, Mihaela Cristina; Golmankhaneh, Ali Khalili
    In this paper, we show that the fractional constraint Hamiltonian formulation, using Dirac brackets, leads to the same equations as those obtained from fractional Euler-Lagrange equations. Furthermore, the fractional Faddeev-Jackiw formalism was constructed.
  • Article
    Citation - WoS: 73
    Citation - Scopus: 94
    Fractional Electromagnetic Equations Using Fractional Forms
    (Springer/plenum Publishers, 2009) Golmankhaneh, Ali Khalili; Golmankhaneh, Alireza Khalili; Baleanu, Mihaela Cristina; Baleanu, Dumitru
    The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic equations involving the fractional derivatives have been worked out. The fractional conservation law for the electric charge and the wave equations were derived by using this method. In addition, the fractional vector and scalar potentials and the fractional Poynting theorem have been derived.