Matematik Bölümü: Recent submissions

  • Perron-type criterion for linear difference equations with distributed delay 
    Alzabut, Jehad; Abdeljawad, Thabet (Hindawi Publishing Corporation, 2007)
    It is shown that if a linear difference equation with distributed delay of the form Delta x(n) = Sigma(0)(k=-d)Delta(k)zeta(n + 1, k - 1)x(n + k - 1), n >= 1, satisfies a Perron condition then its trivial solution is ...
  • Approximation properties of bivariate generalization of Bleimann-Butzer and Hahn operators based on the q-integers 
    Ersan, Sibel (World Scientific And Engineering Acad And Soc, 2007)
    In this presentation, bivariate case of BBH operators based on the q-integers is constructed. Then Korovkin type approximation properties of this generalization are obtained with the help of Volkov's Theorem. Lastly, we ...
  • Approximation by Kantorovich type q-Bernstein operators 
    Dalmanoğlu, Özge (World Scientific And Engineering Acad And Soc, 2007)
    In the present paper, Kantorovich type of Bernstein polynomials based on q-integers is constructed. Approximation properties and rate of convergence of these operators are established with the help of the Korovkin theorem.
  • On fractional variational principles 
    Baleanu, Dumitru; Muslih, Sami I. (Springer, 2007)
    The paper provides the fractional Lagrangian and Hamiltonian formulations of mechanical and field systems. The fractional treatment of constrained system is investigated together with the fractional path integral analysis. ...
  • On the symmetric space sigma-model kinematics 
    Yılmaz, Nejat T. (World Scientific Publ CO PTE LTD, 2007-06-20)
    The solvable Lie algebra parametrization of the symmetric spaces is discussed. Based on the solvable Lie algebra gauge two equivalent formulations of the symmetric space sigma model are studied. Their correspondence is ...
  • Numerical and graphical approaches for the simultaneous quantitative analysis of levamizole and Oxyclozanide in veterinary formulation 
    Dinç, Erdal; Baleanu, Dumitru (Chiminform Data SA, 2007-08)
    Numerical (PLS and PCR calibrations) and graphical (second derivative spectrophotometry) methods were improved for the simultaneous quantitative analysis of levamizole (LEV) and oxyclozanide (OXC) in bolus. These methods ...
  • Cosmological perturbations in FRW model with scalar field within Hamilton-Jacobi formalism and symplectic projector method 
    Baleanu, Dumitru (Sciendo, 2006-12)
    The Hamilton-Jacobi analysis is applied to the dynamics of the scalar fluctuations about the Friedmann-Robertson-Walker (FRW) metric. The gauge conditions are determined from the consistency conditions. The physical degrees ...
  • Continuous wavelet transform and chemometric methods for quantitative resolution of a binary mixture of quinapril and hydrochlorothiazide in tablets 
    Dinç, Erdal; Baleanu, Dumitru (Soc Brasileira Quimica, 2007)
    Quantitative resolution of the quinapril and hydrochlorothiazide mixture in tablets was achieved by using continuous wavelet transform and chemometric methods. In the case of the continuous wavelet transform, various ...
  • Dual metrics for a class of radiative space-times 
    Baleanu, Dumitru; Baskal, S. (World Scientific Publ CO PTE LTD, 2001)
    Second-rank nondegenerate Killing tensors for some subclasses of space-times admitting parallel null one-planes ace investigated. Lichnerowicz radiation conditions are imposed to provide a physical meaning to space-times ...
  • Hamilton-Jacobi treatment of a non-relativistic particle on a curved space 
    Baleanu, Dumitru; Güler, Yurdahan (IOP Publishing LTD, 2001)
    In this paper a non-relativistic particle moving on a hypersurface in a curved space and the multidimensional rotator are investigated using the Hamilton-Jacobi formalism. The equivalence with the Dirac Hamiltonian formalism ...
  • Existence and Uniqueness of Solution for A Class of Nonlinear Fractional Order Differential Equations 
    Babakhani, Azizollah; Baleanu, Dumitru (Hindawi LTD, 2012)
    We discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations (D-alpha - rho tD(beta))x(t) = f(t, x(t), D(gamma)x(t)), t is an element of (0, 1) with boundary conditions ...
  • Fractals Arising From Newton'S Method 
    Çilingir, Figen (Amer Inst Physics, 2012)
    We consider the dynamics as a special class of rational functions that are obtained from Newton's method when applied to a polynomial equation. Finding solutions of these equations leads to some beautiful images in complex ...
  • Fractional Euler-Lagrange Equation of Caldirola-Kanai Oscillator 
    Baleanu, Dumitru; Asad, Jihad H.; Petras, Ivo; Elagan, S.; Bilgen, A. (Editura Academiei Romane, 2012)
    A study of the fractional Lagrangian of the so-called Caldirola-Kanai oscillator is presented. The fractional Euler-Lagrangian equations of the system have been obtained, and the obtained Euler-Lagrangian equations have ...
  • Non-Invasive Methods Applied for Complex Signals 
    Nigmatullin, Raoul R.; Ionescu, Clara; Osokin, Sergey I.; Baleanu, Dumitru; Toboev, V.A. (Editura Academiei Romane, 2012)
    This paper presents the application of a novel algorithm on virtually generated data from patients during anesthesia. Realistic artefacts are simulated in order to validate the usefulness of the proposed methods in separating ...
  • On A Fractional Differential Equation With İnfinitely Many Solutions 
    Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal (Springer International Publishing AG, 2012)
    We present a set of restrictions on the fractional differential equation , , where and , that leads to the existence of an infinity of solutions (a continuum of solutions) starting from . The operator is the Caputo ...
  • Lane Change Scheduling for Autonomous Vehicles 
    Atagoziyev, Maksat; Schmidt, Klaus Werner; Schmidt, Ece G. (Elsevier Science BV, 2016)
    The subject of this paper is the coordination of lane changes of autonomous vehicles on a two-lane road segment before reaching a given critical position. We first develop an algorithm that performs a lane change of a ...
  • 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 ...
  • On combined optical solitons of the one-dimensional Schrodinger's equation with time dependent coefficients 
    Kılıç, Bülent; İnç, Mustafa; Baleanu, Dumitru (De Gruyter Open LTD, 2016-01)
    This paper integrates dispersive optical solitons in special optical metamaterials with a time dependent coefficient. We obtained some optical solitons of the aforementioned equation. It is shown that the examined dependent ...
  • On soliton solutions of the Wu-Zhang system 
    İnç, Mustafa; Kılıç, Bülent; Karataş, Esra; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru; Tchier, Fairouz (De Gruyter Open LTD, 2016-01)
    In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
  • Analysis of time-fractional Hunter-Saxton equation: a model of neumatic liquid crystal 
    Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed (Sciendo, 2016-01)
    In this work, a theoretical study of diffusion of neumatic liquid crystals was done using the concept of fractional order derivative. This version of fractional derivative is very easy to handle and obey to almost all the ...