Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Author: search.filters.author.Muslih, Sami I.Publisher: search.filters.publisher.Editura Acad Romane

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Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 16
    Citation - Scopus: 23
    On Fractional Hamiltonian Systems Possessing First-Class Constraints Within Caputo Derivatives
    (Editura Acad Romane, 2011) Baleanu, Dumitru; Baleanu, Dumitru; Muslih, Sami I.; Rabei, Eqab M.; Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Matematik
    The fractional constrained systems possessing only first class constraints are analyzed within Caputo fractional derivatives. It was proved that the fractional Hamilton-Jacobi like equations appear naturally in the process of finding the full canonical transformations. An illustrative example is analyzed.
  • Article
    Citation - WoS: 28
    Citation - Scopus: 33
    Lagrangian 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; Matematik
    The 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: 18
    Citation - Scopus: 23
    Fractional Dimensional Harmonic Oscillator
    (Editura Acad Romane, 2011) Eid, R.; Baleanu, Dumitru; Muslih, Sami I.; Baleanu, Dumitru; Rabei, E.; Matematik
    The 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: 13
    Citation - Scopus: 15
    Mandelbrot Scaling and Parametrization Invariant Theories
    (Editura Acad Romane, 2010) Muslih, Sami I.; Baleanu, Dumitru; Baleanu, Dumitru; Matematik
    Fractional variational principles have gained considerable importance during the last decade due to their applications in several areas of sciences and engineering. In this paper we will adapt this variational principle to obtain the Euler-Lagrange equation of motion, by considering two different cases. In the first case we used the scaling concepts of Mandelbrot of fractals in variational problems of mechanical systems in order to re-write the action function as an integration over a scaling measure. After that we parameterize the time in the action integral to obtain the equations of motion. It is shown that the genuine Euler-Lagrange equations of motion are those which are obtained using the Mandelbrot scaling of space/and or time.