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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü"

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü"

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  • Fractional caputo heat equation within the double laplace transform 
    Anwar, A.M.O.; Jarad, Fahd; Baleanu, Dumitru; Ayaz, Fatma (Editura Academiei Romane, 2013)
    The heat equation and its fractional generalization are used in various applications in science and engineering. In this paper firstly we introduce the double Laplace transform of the partial fractional integrals and ...
  • Fractional curve flows and solitonic hierarchies in gravity and geometric mechanics 
    Baleanu, Dumitru; Vacaru, Sergiu (Amer Inst Physics, 2011-05)
    Methods from the geometry of nonholonomic manifolds and Lagrange-Finsler spaces are applied in fractional calculus with Caputo derivatives and for elaborating models of fractional gravity and fractional Lagrange mechanics. ...
  • Fractional differences and integration by parts 
    Abdeljawad, Thabet; Baleanu, Dumitru (Eudoxus Press, 2011-04)
    In this paper we define the right fractional sum and difference following the delta time scale calculus and obtain results on them analogous to those obtained for the left ones studied in [6], [7], [8]. In addition of that ...
  • Fractional diffusion on bounded domains 
    Defterli, Özlem; D'Elia, Marta; Du, Quiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. (Walter De Gruyter GMBH, 2015-04)
    The mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application ...
  • 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 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 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 Euler-Lagrange equations revisited 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Springer, 2012-08)
    This paper presents the necessary and sufficient optimality conditions for the Euler-Lagrange fractional equations of fractional variational problems with determining in which spaces the functional must exist where the ...
  • Fractional Hamilton formalism within Caputo's derivative 
    Baleanu, Dumitru; Agrawal, Om. P. (Inst Physics Acad Sci Czech Republic, 2006-11)
    In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are ...
  • 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 Hamiltonian analysis of irregular systems 
    Baleanu, Dumitru (Elsevier Science, 2006-10)
    The fractional Hamiltonian systems with linearly dependent constraints are investigated within fractional Riemann–Liouville derivatives. One example is analyzed in details and the consistency of fractional Euler–Lagrange ...
  • Fractional Lie group method of the time-fractional Boussinesq equation 
    Jafari, Hossein; Kadkhoda, Nematollah; Baleanu, Dumitru (Springer, 2015-08)
    Finding the symmetries of the nonlinear fractional differential equations is a topic which has many applications in various fields of science and engineering. In this manuscript, firstly, we are interested in finding the ...
  • Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel 
    Gomez-Aguilar, J. F.; Torres, L.; Yepez-Martinez, H.; Baleanu, Dumitru; Reyes, J. M.; Sosa, I. O. (Springer International Publishing, 2016-07-01)
    This paper presents the procedure to obtain analytical solutions of Li,nard type model of a fluid transmission line represented by the Caputo-Fabrizio fractional operator. For such a model, we derive a new approximated ...
  • 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 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 ...
  • Fractional optimal control problems with several state and control variables 
    Agrawal, Om. P.; Defterli, Özlem; Baleanu, Dumitru (Sage Publications LTD, 2010-11)
    In many applications, fractional derivatives provide better descriptions of the behavior of dynamic systems than other techniques. For this reason, fractional calculus has been used to analyze systems having noninteger ...
  • Fractional radiative transfer equation within Chebyshev spectral approach 
    Kadem, Abdelouhab; Baleanu, Dumitru (Pergamon-Elsevier Science, 2010-03)
    In this work we report the convergence of the Chebyshev polynomials combined with the S(N) method for the steady state transport equation using the fractional derivative. The procedure is based on the expansion of the ...