WoS İndeksli Yayınlar Koleksiyonu

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

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Access Right: Closed AccessAuthor: search.filters.author.Golmankhaneh, Alireza Khalili

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Now showing 1 - 7 of 7
  • 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: 41
    Citation - Scopus: 46
    On Artificial Neural Networks Approach With New Cost Functions
    (Elsevier Science inc, 2018) Jafarian, Ahmad; Nia, Safa Measoomy; Golmankhaneh, Alireza Khalili; Baleanu, Dumitru; Measoomy Nia, Safa; Khalili Golmankhaneh, Alireza
    In this manuscript, the artificial neural networks approach involving generalized sigmoid function as a cost function, and three-layered feed-forward architecture is considered as an iterative scheme for solving linear fractional order ordinary differential equations. The supervised back-propagation type learning algorithm based on the gradient descent method, is able to approximate this a problem on a given arbitrary interval to any desired degree of accuracy. To be more precise, some test problems are also given with the comparison to the simulation and numerical results given by another usual method. (C) 2018 Elsevier Inc. All rights reserved.
  • 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
    Citation - WoS: 25
    Citation - Scopus: 27
    On the Fractional Hamilton and Lagrange Mechanics
    (Springer/plenum Publishers, 2012) Yengejeh, Ali Moslemi; Baleanu, Dumitru; Golmankhaneh, Alireza Khalili
    The fractional generalization of Hamiltonian mechanics is constructed by using the Lagrangian involving fractional derivatives. In this paper the equation of projectile motion with air friction using fractional Hamiltonian mechanics and equation for current loop involving electric source, a resistor, an inductor and a capacitor has been obtained. Furthermore, fractional optics has been introduced.
  • 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.