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Browsing Fen - Edebiyat Fakültesi by Author "Muslih, Sami I."

Browsing Fen - Edebiyat Fakültesi by Author "Muslih, Sami I."

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  • A fractional Dirac equation and its solution 
    Muslih, Sami I.; Agrawal, Om. P.; Baleanu, Dumitru (IOP Publishing LTD, 2010-02-05)
    This paper presents a fractional Dirac equation and its solution. The fractional Dirac equation may be obtained using a fractional variational principle and a fractional Klein-Gordon equation; both methods are considered ...
  • A fractional schrödinger equation and its solution 
    Muslih, Sami I.; Baleanu, Dumitru; Agrawal, Om. P. (Springer/Plenum Publishers, 2010-08)
    This paper presents a fractional Schrodinger equation and its solution. The fractional Schrodinger equation may be obtained using a fractional variational principle and a fractional Klein-Gordon equation; both methods are ...
  • About fractional supersymmetric quantum mechanics 
    Baleanu, Dumitru; Muslih, Sami I. (Inst Physics Acad Sci Czech Republic, 2005-09)
    Fractional Euler-Lagrange equations are investigated in the presence of Grassmann variables. The fractional Hamiltonian and the path integral of the fractional supersymmetric classical model are constructed.
  • About Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives 
    Baleanu, Dumitru; Muslih, Sami I. (Amer Soc Mechanical Engineers, 2005)
    sRecently, an extension of the simplest fractional problem and the fractional variational problem of Lagrange was obtained by Agrawal. The first part of this study presents the fractional Lagrangian formulation of mechanical ...
  • Equations of motion for Einstein’s field in non-integer dimensional space 
    Sadallah, Madhat; Muslih, Sami I.; Baleanu, Dumitru (Inst Physics Acad Sci Czech Republic, 2006-04)
    Equations of motion for Einstein's field in fractional dimension of 4 spatial coordinates are obtained. It is shown that time dependent part of Einstein's wave function is single valued for only 4-integer dimensional space
  • Formulation of Hamiltonian equations for fractional variational problems 
    Muslih, Sami I.; Baleanu, Dumitru (Inst Physics Acad Sci Czech Republic, 2005-06)
    An extension of Riewe's fractional Hamiltonian formulation is presented for fractional constrained systems. The conditions of consistency of the set of constraints with equations of motion are investigated. Three examples ...
  • Fractional dimensional harmonic oscillator 
    Eid, R.; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E. (Editura Acad Romane, 2011)
    The fractional Schrodinger equation corresponding to the fractional oscillator was investigated. The regular singular points and the exact solutions of the corresponding radial Schrodinger equation were reported
  • Fractional Euler-Lagrange and fractional Hamilton equations for super symmetric classical model 
    Baleanu, Dumitru; Muslih, Sami I. (World Scientific, 2007-12)
    Fractional Euler-Lagrange equations were investigated in the presence of the elements of Berezin algebra. The super fractional Hessian was defined and the fractional Hamiltonian of the super symmetric classical model was ...
  • Fractional Euler-Lagrange equations of motion in fractional space 
    Muslih, Sami I.; Baleanu, Dumitru (Sage Publications Ltd, 2007-10)
    Fractional variational principles have gained considerable importance during the last decade due to their various applications in several areas of science and engineering. In this study, the fractional Euler-Lagrange ...
  • Fractional Hamilton's equations of motion in fractional time 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (De Gruyter Open LTD, 2007-12)
    The Hamiltonian formulation for mechanical systems containing Riemman-Liouville fractional derivatives are investigated in fractional time. The fractional Hamilton's equations are obtained and two examples are investigated ...
  • Fractional Hamiltonian analysis of higher order derivatives systems 
    Baleanu, Dumitru; Muslih, Sami I.; Taş, Kenan (American Institute of Physics, 2006-10)
    The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski’s formulation is obtained. The fractional path integral of both simple harmonic oscillator with an ...
  • Fractional lagrangian and hamiltonian mechanics with memory 
    Baleanu, Dumitru; Muslih, Sami I. (2019-01-01)
    Fractional variational principles are very important for science and engineering. Within this field of study, the fractional Lagrangian and Hamiltonian equations are challenging ones from the viewpoint of mathematics. ...
  • 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 multipoles in fractional space 
    Muslih, Sami I.; Baleanu, Dumitru (Pergamon-Elsevier ,Science ltd, 2007-02)
    Gauss’ law in -dimensional fractional space is investigated. The electrostatic potential with th-order fractional multipole is obtained in -dimensionally fractional space.
  • Fractional time action and perturbed gravity 
    Sadallah, Madhat; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab (World Scientific, 2011-06)
    In this paper, we used the scaling concepts of Mandelbrot of fractals in variational problems of mechanical systems in order to re-write the action integral function as an integration over the fractional time. In addition, ...
  • Fractional WKB approximation 
    Rabei, Eqab M.; Altarazi, İbrahim M. A.; Muslih, Sami I.; Baleanu, Dumitru (Springer, 2009-07)
    Wentzel-Kramer-Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case, the wave function is constructed such that the phase factor is the ...
  • Generalized variational calculus in terms of multi-parameters fractional derivatives 
    Agrawal, Om. P.; Muslih, Sami I.; Baleanu, Dumitru (Elsevier Science, 2011-12)
    In this paper, we briefly introduce two generalizations of work presented a few years ago on fractional variational formulations. In the first generalization, we consider the Hilfer's generalized fractional derivative that ...
  • Gravitational potential in fractional space 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (Versita, 2007-09)
    In this paper the gravitational potential with beta-th order fractional mass distribution was obtained in a dimensionally fractional space. We show that the fractional gravitational universal constant G(alpha) is given by ...
  • Hamilton formulation for continuous systems with second order derivatives 
    El-Zalan, Hosam A.; Muslih, Sami I.; Rabei, Eqab M.; Baleanu, Dumitru (Springer/Plenum Publishers, 2008-09)
    In this paper the Hamilton formulation for continuous systems with second order derivatives has been developed. We generalized the Hamilton formulation for continuous systems with second order derivatives and apply this ...
  • Hamilton-Jacobi and fractional like action with time scaling 
    Herzallah, Mohamed A. E.; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (Springer, 2011-12)
    This paper represents the Hamilton-Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time scaling parameter. Also we developed the fractional Hamiltonian ...