Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Citation - WoS: 44Citation - Scopus: 66Fractional Variational Principles With Delay(Iop Publishing Ltd, 2008) Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet; Maaraba, ThabetThe fractional variational principles within Riemann-Liouville fractional derivatives in the presence of delay are analyzed. The corresponding Euler Lagrange equations are obtained and one example is analyzed in detail.Article Citation - WoS: 196Citation - Scopus: 229Lagrangian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives(Iop Publishing Ltd, 2005) Muslih, SI; Baleanu, DThe classical fields with fractional derivatives are investigated by using the fractional Lagrangian forniulation. The fractional ELder-Lagrange equations were obtained and two examples were studied.Article Citation - WoS: 21Citation - Scopus: 23Hamilton-Jacobi Treatment of a Non-Relativistic Particle on a Curved Space(Iop Publishing Ltd, 2001) Baleanu, D; Güler, YIn 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 is demonstrated in both Cartesian and curvilinear coordinates. The energy spectrum of the multidimensional rotator is equal to that of a pure Laplace-Beltrami operator with no additional constant arising from the curvature of the sphere.Article Citation - WoS: 31Citation - Scopus: 44Fractional Variational Principles in Action(Iop Publishing Ltd, 2009) Baleanu, DumitruThe fractional calculus has gained considerable importance in various fields of science and engineering, especially during the last few decades. An open issue in this emerging field is represented by the fractional variational principles area. Therefore, the fractional Euler-Lagrange and Hamilton equations started to be examined intensely during the last decade. In this paper, we review some new trends in this field and we discuss some of their potential applications.Article Citation - WoS: 2Citation - Scopus: 2Exact Solutions of a Class of Fractional Hamiltonian Equations Involving Caputo Derivatives(Iop Publishing Ltd, 2009) Trujillo, Juan J.; Baleanu, DumitruThe fractional Hamiltonian equations corresponding to the Lagrangians of constrained systems within Caputo derivatives are investigated. The fractional phase space is obtained and the exact solutions of some constrained systems are obtained.Article Citation - WoS: 27Citation - Scopus: 28Hamilton-Jacobi Formulation of Systems Within Caputo's Fractional Derivative(Iop Publishing Ltd, 2008) Almayteh, Ibtesam; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M.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. Two examples are studied in detail.Article Citation - WoS: 2Citation - Scopus: 2Hamiltonian Formulation of Singular Lagrangians on Time Scales(Iop Publishing Ltd, 2008) Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet; Maraaba, Abdeljawad ThabetThe 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.Article Citation - WoS: 34Hamiltonian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives(Iop Publishing Ltd, 2006) Baleanu, D; Rabei, E; Muslih, SIThe fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail.