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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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  • On fractional coupled whitham-broer-kaup equations 
    Kadem, Abdelouhab; Baleanu, Dumitru (Editura Acad Romane, 2011)
    Finding the fractional version of a given classical nonlinear equation or to a given system of differential equations is still an open problem in the field of the fractional calculus. In this paper the homotopy perturbation ...
  • On fractional Duffin-Kemmer-Petiau equation 
    Bouzid, N.; Merad, M.; Baleanu, Dumitru (Springer Wien, 2016-04)
    In this paper we treat a fractional bosonic, scalar and vectorial, time equation namely Duffin-Kemmer-Petiau Equation. The fractional variational principle was used, the fractional Euler-Lagrange equations were presented. ...
  • 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 fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses 
    Suganya, Selvaraj; Baleanu, Dumitru; Kalamani, Palaniyappan; Arjunan, M. Mallika (Springer International Publishing, 2015-12-08)
    In this manuscript, we work to actualize the Darbo Banas and Goebel in Measure of Noncompactness in Banach Space. Lecture Notes in Pure and Applied Mathematics, 1980) fixed point theorem (FPT) coupled with the Hausdorff ...
  • On fractional Schrodinger equation in alpha-dimensional fractional space 
    Eid, Rajeh; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E. (Pergamon-Elsevier Science, 2009-06)
    The Schrodinger equation is solved in a-dimensional fractional space with a Coulomb potential proportional to 1/r(beta-2), 2 <= beta <= 4. The wave functions are studied in terms of spatial dimensionality alpha and beta ...
  • On L-p-solutions for a class of sequential fractional differential equations 
    Baleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. (Elsevier Science Inc., 2011-11-01)
    Under some simple conditions on the coefficient a( t), we establish that the initial value problem ((0)D(t)(alpha)x)' + a(t)x = 0; t > 0; lim(t SE arrow 0)[t(1-alpha)x(t)] = 0 has no solution in L-p((1, +infinity), R), ...
  • On locally finite minimal non-solvable groups 
    Arıkan, Ahmet; Sezer, Sezgin; Smith, Howard (Versita, 2010-04)
    In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally ...
  • On modeling the groundwater flow within a confined aquifer 
    Atangana, Abdon; Baleanu, Dumitru (Editura Acad Romane, 2015)
    The groundwater flow equation is used to simulate the movement of water under the confined aquifer. In this paper we study a modification of the groundwater flow equation within a newly proposed derivative. We numerically ...
  • On Newton's method applied to real polynomials 
    Çilingir, Figen; Jarque, Xavier (Taylor&Francis Ltd., 2012)
    It is known that if we apply Newton's method to the complex function F(z) = P(z)e(Q(z)), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper, we show that under certain ...
  • 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 ...
  • On optical solitons of the non-local NLSE with time dependent coefficients 
    Baleanu, Dumitru; Kılıç, Bülent; İnç, Mustafa (NATL INST Optoelectronics, 2016-07)
    This paper integrates non-local nonlinear Schrodinger equation (NNLSE) with time dependent coefficients. The first integral method (FIM) is applied to report the optical soliton solutions of NNLSE with parabolic law ...
  • On oscillatory solutions of certain forced Emden–Fowler like equations 
    Octavian, G. Mustafa (Elsevier, 2008-12)
    We give a constructive proof of existence to oscillatory solutions for the differential equations x(t) + a(t)|x(t)| λ sign[x(t)] = e(t), where t t0 1 and λ > 1, that decay to 0 when t → +∞ as O(t−μ) for μ > 0 as close as ...
  • On Riemann and Caputo fractional differences 
    Abdeljawad, Thabet (Pergamon-Elsevier Science Ltd, 2011-08)
    In this paper, we define left and right Caputo fractional sums and differences, study some of their properties and then relate them to Riemann-Liouville ones studied before by Miller K. S. and Ross B., Atici F.M. and Eloe ...
  • On riesz-caputo formulation for sequential fractional variational principles 
    Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru (Hindawi Publishing Corporation, 2012)
    This paper deals with sequential Riesz-Caputo fractional variational problems with and without the presence of delay in the state variables and their derivatives. In both cases the necessary conditions for the optimal ...
  • On square integrable solutions of a fractional differential equation 
    Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan (Elsevier Science Bv, 2018-11-15)
    In this paper we construct the Weyl-Titchmarsh theory for the fractional Sturm-Liouville equation. For this purpose we used the Caputo and Riemann-Liouville fractional operators having the order is between zero and one.
  • On sumudu transform method in discrete fractional calculus 
    Jarad, Fahd; Taş, Kenan (Hindawi Publishing Corporation, 2012)
    In this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties. We obtain the discrete Sumudu ...
  • On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel 
    Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru (Amer Inst Physics, 2017-10)
    The pivotal aim of this paper was to analyze a new fractional model of chemical kinetics system related to a newly discovered Atangana-Baleanu derivative with fractional order having non-singular and non-local kernel. The ...
  • On the analysis of data emerging in non-linear and complex systems comparison of two x-ray prony spectra 
    Nigmatullin, Raoul R.; Khramov, A. S.; Kiyamov, A. G.; Fatkhullin, B. F.; Machado, J. A. Tenreiro; Baleanu, Dumitru (Chiminform Data SA, 2015-12)
    New arguments proving that successive (repeated) measurements have a memory and actually remember each other are presented. The recognition of this peculiarity can change essentially the existing paradigm associated with ...