Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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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: 54Citation - Scopus: 66On Fractional Schrodinger Equation in Α-Dimensional Fractional Space(Pergamon-elsevier Science Ltd, 2009) Muslih, Sami I.; Baleanu, Dumitru; Rabei, E.; Eid, RajehThe Schrodinger equation is solved in a-dimensional fractional space with a Coulomb potential proportional to 1/r(beta-2), 2 <= beta <= 4. The wave functions are studied in terms of spatial dimensionality alpha and beta and the results for beta = 3 are compared with those obtained in the literature. (C) 2008 Elsevier Ltd. All rights reserved.Conference Object Citation - WoS: 33Citation - Scopus: 35Fractional Euler-Lagrange Equations of Motion in Fractional Space(Sage Publications Ltd, 2007) Baleanu, Dumitru; Muslih, Sami I.Fractional variational principles have gained considerable importance during the last decade due to their various applications in several areas of science and engineering. In this study, the fractional Euler-Lagrange equations corresponding to a prescribed fractional space are obtained. These equations are obtained using the traditional method of calculus of variations adapted to the case of fractional space. The most general fractional Lagrangian is considered and the limit case when the parameters involved in fractional derivatives are equal to one, is obtained. Two examples are investigated in this study, namely the free particle on fractional space and the fractional simple pendulum, and their corresponding fractional Euler-Lagrange equations ar obtained.Article Citation - WoS: 23Citation - Scopus: 23Gravitational Potential in Fractional Space(de Gruyter Open Ltd, 2007) Baleanu, Dumitru; Rabei, Eqab M.; Muslih, Sami I.In this paper the gravitational potential with beta-th order fractional mass distribution was obtained in a dimensionally fractional space. We show that the fractional gravitational universal constant G(alpha) is given by G(alpha) = 2 Gamma(alpha/2)/Pi(alpha/2-1)(alpha-2) G, where G is the usual gravitational universal constant and the dimensionality of the space is alpha > 2. (c) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.Article Citation - WoS: 56Citation - Scopus: 68Fractional Multipoles in Fractional Space(Pergamon-elsevier Science Ltd, 2007) Baleanu, Dumitru; Muslih, Sami I.Gauss' law in alpha-dimensional fractional space is investigated. The electrostatic potential with beta th-order fractional multipole is obtained in alpha-dimensionally fractional space. (c) 2005 Elsevier Ltd. All rights reserved.