DSpace@Çankaya

Yazar "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü" için Matematik Bölümü Yayın Koleksiyonu listeleme

Yazar "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü" için Matematik Bölümü Yayın Koleksiyonu listeleme

Sırala: Sıra: Sonuçlar:

  • Generalized Laguerre-Gauss-Radau scheme for first order hyperbolic equations on semi-infinite domains 
    Bhrawy, A. H.; Hafez, R. M.; Alzahrani, Ebraheem; Baleanu, Dumitru; Alzahrani, A. A. (Editura Academiei Romane, 2015)
    In this article, we develop a numerical approximation for first-order hyperbolic equations on semi-infinite domains by using a spectral collocation scheme. First, we propose the generalized Laguerre-Gauss-Radau collocation ...
  • 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 ...
  • Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives 
    Rabei, Eqab M.; Rawashdeh, Ibrahim M.; Muslih, Sami I.; Baleanu, Dumitru (Springer/Plenum Publishers, 2011-05)
    The paper presents fractional Hamilton-Jacobi formulations for systems containing Riesz fractional derivatives (RFD's). The Hamilton-Jacobi equations of motion are obtained. An illustrative example for simple harmonic ...
  • Hamilton-Jacobi formulation of systems within Caputo's fractional derivative 
    Rabei, Eqab M.; Almayteh, Ibtesam; Muslih, Sami I.; Baleanu, Dumitru (IOP Publishing Ltd, 2008-01)
    A new fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives was developed. The fractional action function is obtained and the solutions of the equations of motion are recovered. ...
  • Hamiltonian formulation of classical fields within Riemann-Liouville fractional derivatives 
    Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab (Royal Swedish Acad Sciences, 2006-05)
    The fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail
  • Hamiltonian formulation of singular Lagrangians on time scales 
    Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet (IOP Publishing ltd, 2008-05)
    The Hamiltonian formulation of Lagrangian on time scale is investigated and the equivalence of Hamilton and Euler-Lagrange equations is obtained. The role of Lagrange multipliers is discussed
  • 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 ...
  • Heisenberg's equations of motion with fractional derivatives 
    Rabei, Eqab M.; Tarawneh, Derar M.; Muslih, Sami I.; Baleanu, Dumitru (Sage Publications Ltd, 2007-10)
    Fractional variational principles is a new topic in the field of fractional calculus and it has been subject to intense debate during the last few years. One of the important applications of fractional variational principles ...
  • Heterotic string dynamics in the solvable Lie algebra gauge 
    Yılmaz, Nejat T. (Elsevier Science, 2007-03-12)
    A revision of the toroidal Kaluza-Klein compactification of the massless sector of the E-8 x E-8 heterotic string, is given. Under the solvable Lie algebra gauge the dynamics of the O(p, q)/(O(p) x O(q)) symmetric space ...
  • Higher order fractional variational optimal control problems with delayed arguments 
    Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (Elsevier Sci Inc, 2012-05-15)
    This article deals with higher order Caputo fractional variational problems in the presence of delay in the state variables and their integer higher order derivatives.
  • Homotopy perturbation method for the coupled fractional lotka-volterra equations 
    Kadem, Abdelouahab; Baleanu, Dumitru (Editura Acad Romane, 2011)
    Fractional differential equations started to have important applications in various fields of science and engineering involving dynamics of complex phenomena. Finding new methods to solve the fractional differential equations ...
  • Hopf bifurcation for a class of fractional differential equations with delay 
    Babakhani, Azizollah; Baleanu, Dumitru; Khanbabaie, Reza (Springer, 2012-08)
    The main purpose of this manuscript is to prove the existence of solutions for delay fractional order differential equations (FDE) at the neighborhood of its equilibrium point. After we convert the delay FDE into linear ...
  • Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay 
    Merdan, H.; Kayan, Şeyma (Springer, 2015-02)
    We investigate bifurcations of the Lengyel-Epstein reaction-diffusion model involving time delay under the Neumann boundary conditions. Choosing the delay parameter as a bifurcation parameter, we show that Hopf bifurcation ...
  • Improved (G '/G)-expansion method for the time-fractional biological population model and cahn-hilliard equation 
    Baleanu, Dumitru; Uğurlu, Yavuz; İnç, Mustafa; Kılıç, Bülent (Asme, 2015-09)
    In this paper, we used improved (G'/G)-expansion method to reach the solutions for some nonlinear time-fractional partial differential equations (fPDE). The fPDE is reduced to an ordinary differential equation (ODE) by ...
  • Improved polynomial multiplication formulas over F-2 using chinese remainder theorem 
    Cenk, Murat; Özbudak, Ferruh (IEEE-Computer Soc, 2009-04)
    Let n and l be positive integers and f(x) be an irreducible polynomial over F-2 such that ldeg(f(x)) < 2n - 1. We obtain an effective upper bound for the multiplication complexity of n-term polynomials modulo f(x)(l). This ...
  • Integral inequalities involving generalized Erdelyi-Kober fractional integral operators 
    Baleanu, Dumitru; Purohit, Sunil Dutt; Prajapati, Jyotindra (De Gruyter Open Ltd., 2016-02-13)
    Using the generalized Erdelyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier ...
  • Integrated field equations of heterotic supergravities 
    Yılmaz, Nejat T. (World Scientific, 2008-03-10)
    The first-order bosonic field equations of the D-dimensional effective low energy theory which describes the massless background coupling of the D-dimensional fully Higgsed heterotic string are derived