DSpace@Çankaya

Yazar "Golmankhaneh, Ali K." için Fen - Edebiyat Fakültesi listeleme

Yazar "Golmankhaneh, Ali K." için Fen - Edebiyat Fakültesi listeleme

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  • About schrodinger equation on fractals curves imbedding in R (3) 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru (Springer/Plenum Publishers, 2015-04)
    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 ...
  • Fractional Electromagnetic Equations Using Fractional Forms 
    Baleanu, Dumitru; Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Mihaela Cristina (Springer/Plenum Publishers, 2009-11)
    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 ...
  • Fractional mechanics on the extended phase space 
    Baleanu, Dumitru; Muslih, Sami I.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Rabei, Eqab M. (Amer Soc Mechanical Engineers, 2010)
    Fractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively ...
  • Fractional Newtonian mechanics 
    Baleanu, Dumitru; Golmankhaneh, Alireza K.; Nigmatullin, Raoul R.; Golmankhaneh, Ali K. (Versita, 2010-02)
    In the present paper, we have introduced the generalized Newtonian law and fractional Langevin equation. We have derived potentials corresponding to different kinds of forces involving both the right and the left fractional ...
  • Fractional odd-dimensional mechanics 
    Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Baleanu, Mihaela Cristina (Springer International Publishing, 2011)
    The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is based on ...
  • 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. ...
  • Hamiltonian structure of fractional first order lagrangian 
    Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Baleanu, Dumitru; Baleanu, Mihaela Cristina (Springer/Plenum Publishers, 2010-02)
    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 ...
  • Newtonian law with memory 
    Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Nigmatullin, Raoul R. (Springer, 2010-04)
    In this study we analyzed the Newtonian equation with memory. One physical model possessing memory effect is analyzed in detail. The fractional generalization of this model is investigated and the exact solutions within ...
  • On electromagnetic field in fractional space 
    Baleanu, Dumitru; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Pergamon-Elsevier Science Ltd, 2010-02)
    Laplacian equation in fractional space describes complex phenomena of physics. With this view, potential of charge distribution in fractional space is derived using Gegenbauer polynomials. Multipoles and magnetic field of ...
  • On fractional dynamics on the extended phase space 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Asme-Amer Soc Mechanical Engineering, 2010-10)
    Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced. The fractional Hamiltonian ...
  • On fractional Hamiltonian systems possessing first-class constraints within Caputo derivatives 
    Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K. (Editura Acad Romane, 2011)
    The fractional constrained systems possessing only first class constraints are analyzed within Caputo fractional derivatives. It was proved that the fractional Hamilton-Jacobi like equations appear naturally in the process ...
  • On nonlinear fractional Klein-Gordon equation 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru (Elsevier Science Bv, 2011-03)
    Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy ...
  • On nonlinear fractional Klein-Gordon equation 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru (Elsevier Science Bv, 2011-03)
    Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy ...
  • Solving of the fractional non-linear and linear schrodinger equations by homotopy perturbation method 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru (Editura Academiei Romane, 2009)
    In this paper, the homotopy perturbation method is applied to obtain approximate analytical solutions of the fractional non-linear Schrodinger equations. The solutions are obtained in the form of rapidly convergent infinite ...
  • Structure of magnetic field lines 
    Golmankhaneh, Ali K.; Golmankhaneh, Alireza K.; Jazayeri, Seyed Masud; Baleanu, Dumitru (Elsevier Science BV, 2012-02)
    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 ...
  • The dual action of fractional multi time Hamilton equations 
    Baleanu, Dumitru; Golmankhaneh, Ali K.; Golmankhaneh, Alireza K. (Springer/Plenum Publishers, 2009-09)
    The fractional multi time Lagrangian equations has been derived for dynamical systems within Riemann-Liouville derivatives. The fractional multi time Hamiltonian is introduced as Legendre transformation of multi time ...