WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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COAR Access Rights: search.filters.coarAccessRights.metadata only accessPublisher: search.filters.publisher.Amer inst Physics

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Now showing 1 - 10 of 28
  • Conference Object
    Killing-Yano Tensors, Surface Terms and Superintegrable Systems
    (Amer inst Physics, 2004) Baleanu, Dumitru; Baleanu, D; Defterli, Ö; Defterli, Özlem; Matematik
    Killing-Yano and Killing tensors are investigated corresponding to a set of two dimensional superintegrable systems. A suitable surface term is added to the corresponding free Lagrangian describing the motion of a particle on a 2-sphere of unit radius and we analyze the symmetries of the obtained geometries.
  • Conference Object
    Compatibility of Non-Generic Supersymmetries and Geometric Duality for a Subclass of Generalized Pp-Wave Metrics
    (Amer inst Physics, 2004) Baleanu, D; Baleanu, Dumitru; Baskal, S; Matematik
    Spinning point particle theories accommodate non-generic supercharges in connection with the existence of Killing-Yano tensors. Killing-Yano tensors of order two and three and their corresponding Killing tensors are found for a subclass of generalized pp-wave metrics. These metrics include the pp-wave itself, its possible generalizations and the Siklos metric which is conformal to that. The compatibility between geometric duality and non-generic symmetries is discussed within the context of the metric solutions. It is found that some of the metric solutions admit anti-de Sitter spacetimes while some are found to be purely radiative.
  • Conference Object
    Citation - WoS: 2
    Fractional Euler-Lagrange Equations for Constrained Systems
    (Amer inst Physics, 2004) Avkar, Tansel; Avkar, T; Baleanu, D; Baleanu, Dumitru; Matematik
    The fractional calculus is the name for the theory of integrals and derivatives of arbitrary order, which generalize the notions of n-fold integration and integer-order differentiation. Differential equations of fractional order appear in certain applied problems and in theoretical researches. In this paper, the Euler-Lagrange equations of the Lagrangians linear in velocities were derived using the fractional calculus. Two examples of constrained systems possessing a gauge invariance are investigated in details, the explicit solutions of Euler-Lagrange equations are obtained, and the recovery of the classical results is discussed.
  • Conference Object
    Differential Algebraic Equations in Primal Dual Interior Point Optimization Methods
    (Amer inst Physics, 2004) Kasap, S; Kasap, Suat; Trafalis, TB; Endüstri Mühendisliği
    Primal dual Interior Point Methods (IPMs) generate points that lie in the neighborhood of the central trajectory. The key ingredient of the primal dual IPMs is the parameterization of the central trajectory. A new approach to the parameterization of the central trajectory is presented. Instead of parameterizing the central trajectory by the barrier parameter, it is parameterized by the time by describing a continuous dynamical system. Specifically, a new update rule based on the solution of an ordinary differential equation for the barrier parameter of the primal dual IPMs is presented. The resulting ordinary differential equation combined with the first order Karush-Kuhn-Tucker (KKT) conditions, which are algebraic equations, are called differential algebraic equations (DAEs). By solving DAEs, we find an optimal solution to the given problem.
  • Conference Object
    Oscillation Criteria for Second Order Impulsive Delay Differential Equation
    (Amer inst Physics, 2004) Taş, Kenan; Alzabut, J; Zafert, A; Baleanu, Dumitru; Matematik
    A necessary and sufficient condition is obtained for oscillation of bounded solutions of second order impulsive delay differential equations of the form (r(t)x(t))'+p(t)f(x(i(t)))=0, t not equal theta Delta(r(theta(i))x'(theta(i)))+b(i)g(x(sigma(theta(i)))) = 0, i is an element of Z, Deltax(theta(i)) = 0. An example is also inserted to illustrate the effect of impulses on the oscillatory behavior of the solutions.
  • Conference Object
    Citation - WoS: 2
    Citation - Scopus: 2
    Difference Discrete Variational Principles
    (Amer inst Physics, 2006) Baleanu, Dumitru; Jarad, Fahd
    The paper provides the discrete Lagrangian and Hamiltonian formulations of mechanical systems for both non-singular and singular cases. The Lagrangians with linear velocities and with higher velocities are investigated and the corresponding difference Euler-Lagrange equations and Hamiltonians are found.
  • Conference Object
    An Overview of Mean Field Theory in Combinatorial Optimization Problems
    (Amer inst Physics, 2004) Kasap, S; Trafalis, TB
    In the last three decades, there has been significant interest in using mean field theory of statistical physics for combinatorial optimization. This has led to the development of powerful optimization techniques such as neural networks (NNs), simulated annealing (SA), and mean field annealing (MFA). MFA replaces the stochastic nature of SA with a set of deterministic equations named as mean field equations. The mean field equations depend on the energy function of the NNs and are solved at each temperature during the annealing process of SA. MFA advances to the optimal solution in a fundamentally different way than stochastic methods. The use of mean field techniques for the combinatorial optimization problems are reviewed in this study.
  • Article
    Citation - WoS: 9
    Optical Analysis of Tlins2xse2(1-X) Mixed Crystals
    (Amer inst Physics, 2014) Guler, I.
    The ellipsometry measurements were carried out on TlInS2xSe2(1-x) mixed crystals in the spectral range of 1.5-6.0 eV at room temperature. The refractive index, extinction coefficient, real and imaginary parts of dielectric function were found as a result of ellipsometric measurements. The energies of interband transitions (critical point energies) of the TlInS2xSe2(1-x) mixed crystals were obtained by means of the second derivative of the real and imaginary parts of dielectric function. The variation of the critical point energies with the isomorphic anion substitution that is sulfur for selenium atoms was established. (C) 2014 AIP Publishing LLC.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 12
    Representation of Solutions for Sturm-Liouville Eigenvalue Problems With Generalized Fractional Derivative
    (Amer inst Physics, 2020) Bas, Erdal; Baleanu, Dumitru; Ozarslan, Ramazan
    We analyze fractional Sturm-Liouville problems with a new generalized fractional derivative in five different forms. We investigate the representation of solutions by means of rho-Laplace transform for generalized fractional Sturm-Liouville initial value problems. Finally, we examine eigenfunctions and eigenvalues for generalized fractional Sturm-Liouville boundary value problems. All results obtained are compared with simulations in detail under different alpha fractional orders and real rho values. Published under license by AIP Publishing.
  • Article
    Citation - WoS: 47
    Citation - Scopus: 43
    Mathematical Modeling for Adsorption Process of Dye Removal Nonlinear Equation Using Power Law and Exponentially Decaying Kernels
    (Amer inst Physics, 2020) Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru; Qureshi, Sania; Ali Shaikh, Asif
    In this research work, a new time-invariant nonlinear mathematical model in fractional (non-integer) order settings has been proposed under three most frequently employed strategies of the classical Caputo, the Caputo-Fabrizio, and the Atangana-Baleanu-Caputo with the fractional parameter chi , where 0 < chi <= 1. The model consists of a nonlinear autonomous transport equation used to study the adsorption process in order to get rid of the synthetic dyeing substances from the wastewater effluents. Such substances are used at large scale by various industries to color their products with the textile and chemical industries being at the top. The non-integer-order model suggested in the present study depicts the past behavior of the concentration of the solution on the basis of having information of the initial concentration present in the dye. Being nonlinear, it carries the possibility to have no exact solution. However, the Lipchitz condition shows the existence and uniqueness of the underlying model's solution in non-integer-order settings. From a numerical simulation viewpoint, three numerical techniques having first order convergence have been employed to illustrate the numerical results obtained. Published under license by AIP Publishing.