DSpace@Çankaya

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

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

Sırala: Sıra: Sonuçlar:

  • A Numerical Solution of the Urysohn-Type Fredholm İntegral Equations 
    Jafarian, Ahmad; Measoomy, S. A.; Golmankhaneh, Alireza K.; Baleanu, Dumitru (Editura Academiei Romane, 2014)
    In the present paper, a combination of the Bernstein polynomials and artificial neural networks (ANNs) is presented for solving the non-linear Urysohn equation. These polynomials are utilized to reduce the solution of the ...
  • About Maxwell's Equations On Fractal Subsets of R-3 
    Golmankhaneh, Alireza K.; Golmankhaneh, Ali; Baleanu, Dumitru (De Gruyter Poland SP Zoo, 2013-06)
    In this paper we have generalized -calculus for fractals embedding in a"e(3). -calculus is a fractional local derivative on fractals. It is an algorithm which may be used for computer programs and is more applicable than ...
  • 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 ...
  • Analytic Solution for A Nonlinear Problem of Magneto-Thermoelasticity 
    Jafarian, A.; Ghaderi, P.; Golmankhaneh, Alireza K.; Baleanu, Dumitru (2013-06)
    In this paper, we present a comparative study of the homotopy analysis method (HAM), the variational iteration method (VIM) and the iterative method (He's polynomials). The approximate solution of the coupled harmonic waves ...
  • Analytical Approximate Solutions of the Zakharov-Kuznetsov Equations 
    Jafarian, Ahmad; Ghaderi, Pariya; Golmankhaneh, Alireza K.; Baleanu, Dumitru (Editura Academiei Romane, 2014)
    In this paper, analytical approximate solutions for the Zakharov-Kuznetsov equations by homotopy analysis method (HAM) and the He's polynomials iterative method (HPIM) are presented. Our results indicate the remarkable ...
  • Analytical Treatment of System of Abel Integral Equations By Homotopy Analysis Method 
    Jafarian, Ahmad; Ghaderi, Pariya; Golmankhaneh, Alireza K.; Baleanu, Dumitru (Editura Academiei Romane, 2014)
    Abel equation has important applications in describing the least time for an object which is sliding on surface without friction in uniform gravity, and the classical theory of elasticity of materials is modeled by a system ...
  • Calculus on fractals 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (2015-01-01)
    In this chapter we present a framework and a calculus on fractals. The suggested equation has been solved and applied in physics and dynamics.
  • Calculus on Fractals 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (De Gruyter, 2015)
    In this chapter we present a framework and a calculus on fractals. The sug-gested equation has been solved and applied in physics and dynamics.
  • Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations 
    Golmankhaneh, Alireza K.; Khatuni, Tuhid; Porghoveh, Neda A.; Baleanu, Dumitru (Versita, 2012-08)
    In this manuscript the homotopy perturbation method, the new iterative method, and the variational iterative method have been successively used to obtain approximate analytical solutions of nonlinear Sturm-Liouville, ...
  • Diffraction from fractal grating Cantor sets 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (Taylor&Francis LTD, 2016)
    In this paper, we have generalized the Fa-calculus by suggesting Fourier and Laplace transformations of the function with support of the fractals set which are the subset of the real line. Using this generalization, we ...
  • Diffusion on Middle- Cantor Sets 
    Golmankhaneh, Alireza K.; Fernandez, Arran; Baleanu, Dumitru (MDPI, 2018-07)
    In this paper, we study C-calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions. Functions with fractal support are not differentiable ...
  • Einstein field equations within local fractional calculus 
    Golmankhaneh, Alireza K.; Yang, Xiao-Jun; Baleanu, Dumitru (Editura Acad Romane, 2015)
    In this paper, we introduce the local fractional Christoffel index symbols of the first and second kind. The divergence of a local fractional contravariant vector and the curl of local fractional covariant vector are ...
  • Fractal calculus involving gauge function 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (Elsevier Science Bv, 2016-08)
    Henstock-Kurzweil integral or gauge integral is the generalization of the Riemann integral. The functions which are not integrable because of singularity in the senses of Lebesgue or Riemann are gauge integrable. In ...
  • 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 Nambu Mechanics 
    Baleanu, Dumitru; Golmankhaneh, Alireza K. (Springer/Plenum Publishers, 2009-04)
    The fractional generalization of Nambu mechanics is constructed by using the differential forms and exterior derivatives of fractional orders. The generalized Pfaffian equations are obtained and one example is investigated ...
  • 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 ...
  • 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 ...
  • Heat and Maxwell's equations on cantor cubes 
    Golmankhaneh, Alireza K.; Baleanu, Dumitru (Editura Academiei Romane, 2017)
    The fractal physics is an important research domain due to its scaling properties that can be seen everywhere in the nature. In this work, the generalized Maxwell's equations are given using fractal differential equations ...