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Browsing Matematik Bölümü Yayın Koleksiyonu by Issue Date

Browsing Matematik Bölümü Yayın Koleksiyonu by Issue Date

Now showing items 1-20 of 2916

Novel precise solutions and bifurcation of traveling wave solutions for the nonlinear fractional (3 + 1) -dimensional WBBM equation

Siddique, Imran; Mehdi, Khush Bukht; Jarad, Fahd; Elbrolosy, Mamdouh E.; Elmandouh, Adel A. (20-01-20)

The nonlinear fractional differential equations (FDEs) are composed by mathematical modeling through nonlinear corporeal structures. The study of these kinds of models has an energetic position in different fields of applied ...
A Nagumo-like uniqueness theorem for fractional differential equations

Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal (IOP Publishing Ltd, 30-09-30)

We extend to fractional differential equations a recent generalization of the Nagumo uniqueness theorem for ordinary differential equations of first order
Similarity Analytic Solutions of a 3D-Fractal Nanofluid Uncoupled System Optimized by a Fractal Symmetric Tangent Function

Ibrahim, Rabha W.; Ajaj, Ahmed M.; Al-Saidi, Nadia M. G.; Baleanu, Dumitru (202)

The science of strategy (game theory) is known as the optimal decision-making of autonomous and challenging players in a strategic background. There are different strategies to complete the optimal decision. One of these ...
The confined system approximation for solving non-separable potentials in three dimensions

Taşeli, H.; Eid, R. (1998-04-03)

The Hubert space L2(ℝ3), to which the wavefunction of the three-dimensional Schrödinger equation belongs, has been replaced by L2(Ω), where Ω is a bounded region. The energy spectrum of the usual unbounded system is then ...
Higher order finite element solution of the one-dimensional Schrodinger equation

Eid, R. (Wiley, 1999-01-15)

The one-dimensional Schrodinger equation has been examined by means of the confined system defined on a finite interval. The eigenvalues of the resulting bounded problem subject to the Dirichlet boundary conditions are ...
Hamilton-Jacobi quantization of the finite-dimensional systems with constraints

Baleanu, Dumitru; Güler, Yurdahan (Editrice Copmpositori Bologna, 1999-06)

The Hamiltonian treatment of constrained systems in Guler's formalism leads us to the total differential equations in many variables. These equations are integrable if the corresponding system of partial differential ...
Quantization of Floreanini-Jackiw chiral harmonic oscillator

Baleanu, Dumitru; Güler, Yurdahan (Editrice Copmpositori Bologna, 1999-09)

The Floreanini-Jackiw formulation for the chiral quantum mechanical system oscillator is a model of constrained theory with only second-class constraints in Dirac's classification. The covariant quantization needs an ...
Hamilton-Jacobi treatment of fields with constraints

Baleanu, Dumitru; Güler, Y. (2000)

In this paper Güler's formalism for the systems with finite degrees of freedom is applied to the field theories with constraints. The integrability conditions are investigated and the path integral quantization is performed ...
A general treatment of singular Lagrangians with linear velocities

Baleanu, Dumitru; Güler, Y. (Editrice Copmpositori Bologna, 2000-03)

The Hamilton-Jacobi treatment of singular systems with linear velocities is investigated. Since the rank of Hessian matrix is zero, all the generalized coordinates are independent parameters. Integrability conditions reduce ...
On the construction of the phase space of a singular system

Baleanu, Dumitru; Güler, Yılmaz (Editrice Copmpositori Bologna, 2000-03)

In this work we present a method for obtaining the true degrees of freedom for the singular systems using the canonical transformations in the Hamilton-Jacobi formalism. The validity of our proposal has been tested by two ...
Lax tensors and separable coordinates in (2+1) dimensions

Baleanu, Dumitru; Baskal, S. (2000-06-22)

We study the Lax tensors of the separable coordinates in (2+1) dimensions. The Lax tensors of the dual manifolds are investigated.
Geometrization of the Lax pair tensors

Baleanu, Dumitru; Baskal, S. (World Scientific Publ CO PTE LTD, 2000-08-10)

The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional space-times admitting Lax tensors are analyzed in detail. ...
Chemometric quantitative analysis of pyridoxine HCl and thiamine HCl in a vitamin combination by principal component analysis, classical least squares, and inverse least squares techniques

Dinç, Erdal; Baleanu, Dumitru; Onur, Feyyaz (Marcel Dekker Inc, 2001)

Three chemometric techniques were described for the analysis of pyridoxine hydrochloride and thiamine hydrochloride within a vitamin combination in the presence of spectral interferences. For these techniques, the training ...
Symmetries of NUT-Kerr-Newman dual metrics

Baleanu, Dumitru (Editrice Copmpositori Bologna, 2001)

The symmetries of NUT-Kerr-Newman (NUT-KN) dual metrics are analysed. The NUT-Kerr-Newman dual spinning space is constructed in the presence of torsion.
Hamilton-Jacobi quantization of constrained systems

Baleanu, Dumitru; Güler, Yılmaz (Inst Physics Acad Sci Czech Republic, 2001)

The path integral quantization of contrained systems is analysed using Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method.
Multi-Hamilton-Jacobi quantization of O(3) nonlinear sigma model

Baleanu, Dumitru; Güler, Yurdahan (World Scientific Publ CO PTE LTD, 2001)

The O(3) nonlinear sigma model is investigated using multi-Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac's method. By choosing an ...
The hamilton-jacobi treatment of supersymmetric quantum mechanics

Baleanu, Dumitru; Güler, Yurdahan (World Scientific Publ CO PTE LTD, 2001)

We study the Hamilton-Jacobi quantization of supersymmetric quantum mechanics. The equations of motion of the Grassmann variables are obtained from the integrability conditions. The results are in agreement with those ...
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 ...
Hamilton-Jacobi treatment of chiral schwinger model

Baleanu, Dumitru; Güler, Yılmaz (Kluwer Academic, 2001-11)

We investigate the path integral quantization of the bosonic chiral Schwinger model using multi-Hamilton-Jacobi procedure. The integrability conditions require the extension of the initial phase space. The Wess-Zumino term ...

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