Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Institution Author: search.filters.institutionAuthor.Baleanu, Dumitru (7005872966)

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Now showing 1 - 4 of 4
  • Conference Object
    On Constrained Systems Within Caputo Derivatives
    (Amer Soc Mechanical Engineers, 2008) Baleanu, Dumitru; Baleanu, Dumitru
    The constraints systems play a very important role in physics and engineering. The fractional variational principles were successfully applied to control problems as well as to construct the phase space of a fractional dynamical system. In this paper the fractional dynamics of discrete constrained systems is presented and the notion of the reduced phase-space is analyzed. One system possessing two primary first class constraints is analyzed in detail.
  • Book Part
    Citation - WoS: 25
    Citation - Scopus: 1
    New Treatise in Fractional Dynamics
    (Springer-verlag Berlin, 2012) Baleanu, Dumitru; Baleanu, Dumitru
    Fractional calculus becomes a powerful tool used to investigate complex phenomena from various fields of science and engineering. In this context, the researchers paid a lot of attention for the fractional dynamics. However, the fractional modeling is still at the beginning of its developing. The aim of this chapter is to present some new results in the area of fractional dynamics and its applications.
  • Conference Object
    Citation - Scopus: 5
    About Fractional Calculus of Singular Lagrangians
    (Institute of Electrical and Electronics Engineers Inc., 2004) Baleanu, D.; Baleanu, D.
    In this paper the solutions of the fractional Euler-Lagrange equations corresponding to singular fractional Lagrangians were examined. Despite of the complexity of solutions in the fractional case the gauge classical symmetry was preserved. Four examples of fractional singular Lagrangians were analyzed in details. © 2004 IEEE.
  • Article
    About fractional quantization and fractional variational principles
    (Elsevier, 2009) Baleanu, Dumitru
    in this paper, a new method of finding the fractional Euler-Lagrange equations within Caputo derivative is proposed by making use of the fractional generalization of the classical Fad di Bruno formula. The fractional Euler-Lagrange and the fractional Hamilton equations are obtained within the 1 + 1 field formalism. One illustrative example is analyzed. (C) 2008 Elsevier B.V. All rights reserved.