Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 28Citation - Scopus: 33Lagrangian Formulation of Maxwell's Field in Fractional D Dimensional Space-Time(Editura Acad Romane, 2010) Muslih, Sami I.; Baleanu, Dumitru; Saddallah, Madhat; Baleanu, Dumitru; Rabei, Eqab; MatematikThe Lagrangian formulation for field systems is obtained in fractional space-time fractional dimensions D = D-space + D-time. The equations of motion for Maxwell's field are obtained. It is shown that the form of Maxwell's equations in fractional dimensional space are not invariant and they can be solved in the same manner as in the integer space-time dimensions.Article Citation - WoS: 1Citation - Scopus: 2Solutions of Massless Conformal Scalar Field in an N-Dimensional Einstein Space(Jagiellonian Univ Press, 2008) Muslih, Sami I.; Baleanu, Dumitru; Baleanu, Dumitru; Rabei, Eqab M.; MatematikIn this paper the wave equation for massless conformal scalar field in an Einstein's n-dimensional universe is solved and the eigen frequencies are obtained. The special case for alpha = 4 is recovered and the results are in exact agreement with those obtained in literature.Article Citation - WoS: 18Citation - Scopus: 23Fractional Dimensional Harmonic Oscillator(Editura Acad Romane, 2011) Eid, R.; Baleanu, Dumitru; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E.; MatematikThe fractional Schrodinger equation corresponding to the fractional oscillator was investigated. The regular singular points and the exact solutions of the corresponding radial Schrodinger equation were reported.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: 68Citation - Scopus: 69Fractional Hamiltonian Analysis of Higher Order Derivatives Systems(Aip Publishing, 2006) Tas, Kenan; Baleanu, Dumitru; Muslih, Sami I.The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski's formulation is obtained. The fractional path integral of both simple harmonic oscillator with an acceleration-squares part and a damped oscillator are analyzed. The classical results are obtained when fractional derivatives are replaced with the integer order derivatives. (c) 2006 American Institute of Physics.