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Browsing by Author "Rabei, E.M."

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    Citation - Scopus: 12
    The Effect of Deformation of Special Relativity by Conformable Derivative
    (Sociedad Mexicana de Fisica, 2022) Al-Masaeed, M.; Rabei, E.M.; Baleanu, D.; Al-Jamel, A.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this paper, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory are re-stated. Then, the addition of velocity laws are derived and used to verify the constancy of the speed of light. The invariance principle of the laws of physics is demonstrated for some typical illustrative examples, namely, the conformable wave equation, the conformable Schrodinger equation, the conformable Klein-Gordon equation, and conformable Dirac equation. The current formalism may be applicable when using special relativity in a nonlinear or dispersive medium. © 2022, Revista Mexicana de Fisica. All Rights Reserved.
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    Conference Object
    Fractional Mechanics on the Extended Phase Space
    (Amer Soc Mechanical Engineers, 2009) Baleanu, D.; Muslih, S.I.; Khalili Golmankhaneh, A.K.; Khalili Golmankhaneh, A.K.; Rabei, E.M.; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    Fractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively as an alternative tool in order to describe the physical complex phenomena. In this paper we have discussed the fractional extension of the classical dynamics. The fractional Hamiltonian is constructed and the fractional generalized Poisson's brackets on the extended phase space is established. © 2009 by ASME. © 2013 Elsevier B.V., All rights reserved.
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    Conference Object
    Path Integral Quantization of Brownian Motion as Mechanical Systems With Fractional Derivatives
    (IFAC Secretariat, 2006) Rabei, E.M.; Baleanu, D.; Muslih, S.I.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this paper, the mechanical systems with fractional derivatives are studied by using fractional formalism. The path integral quantization of these system is constructed as an integration over the canonical phase space. The path integral quantization of a system with Brownian motion is carried out. Copyright 2006 IFAC.