Browsing by Author "Muslih, SI"

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Citation - WoS: 20
Citation - Scopus: 24
About Fractional Supersymmetric Quantum Mechanics
(inst Physics Acad Sci Czech Republic, 2005) Muslih, SI; Baleanu, D; 56389; 01. Çankaya Üniversitesi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi
Fractional Euler-Lagrange equations are investigated in the presence of Grassmann variables. The fractional Hamiltonian and the path integral of the fractional supersymmetric classical model are constructed.
Citation - WoS: 76
Citation - Scopus: 94
Formulation of Hamiltonian Equations for Fractional Variational Problems
(inst Physics Acad Sci Czech Republic, 2005) Baleanu, D; Muslih, SI; 56389; 01. Çankaya Üniversitesi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi
An extension of Riewe's fractional Hamiltonian formulation is presented for fractional constrained systems. The conditions of consistency of the set of constraints with equations of motion are investigated. Three examples of fractional constrained systems are analyzed in details.
Citation - WoS: 34
Hamiltonian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives
(Iop Publishing Ltd, 2006) Baleanu, D; Rabei, E; Muslih, SI; 01. Çankaya Üniversitesi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi
The fractional Hamiltonian formulation and the fractional path integral quantization of fields are analysed. Dirac and Schrodinger fields are investigated in detail.
Citation - WoS: 157
Citation - Scopus: 180
Hamiltonian Formulation of Systems With Linear Velocities Within Riemann-Liouville Fractional Derivatives
(Academic Press inc Elsevier Science, 2005) Muslih, SI; Baleanu, D; 56389; 01. Çankaya Üniversitesi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi
The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatments for systems with linear velocities are equivalent. (c) 2004 Elsevier Inc. All rights reserved.
Citation - WoS: 194
Citation - Scopus: 228
Lagrangian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives
(Iop Publishing Ltd, 2005) Muslih, SI; Baleanu, D; 56389; 01. Çankaya Üniversitesi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi
The 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.
Citation - WoS: 7
Citation - Scopus: 7
Quantization of Classical Fields With Fractional Derivatives
(Soc Italiana Fisica, 2005) Baleanu, D; Muslih, SI; 56389; 01. Çankaya Üniversitesi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi
The classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The path integral formulation for Dirac field with fractional derivatives of order 2/3 and a non-relativistic particle interacting with an external field are obtained.