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Hamiltonian Structure of Fractional First Order Lagrangian

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Abstract

In this paper, we show that the fractional constraint Hamiltonian formulation, using Dirac brackets, leads to the same equations as those obtained from fractional Euler-Lagrange equations. Furthermore, the fractional Faddeev-Jackiw formalism was constructed.

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Authors and Affiliations

  1. Department of Physics, Islamic Azad University-Uromia Branch, P.O. Box 969, Uromia, Iran

    Ali Khalili Golmankhaneh & Alireza Khalili Golmankhaneh

  2. Department of Physics, University of Pune, Pune, 411007, India

    Alireza Khalili Golmankhaneh

  3. Department of Mathematics and Computer Science, Çankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

  4. Institute of Space Sciences, P.O. Box MG-23, 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

  5. Faculty of Physics, University of Bucharest, Bucharest, Romania

    Mihaela Cristina Baleanu

  6. National Mihail Sadoveanu High School, District 2, Bucharest, Romania

    Mihaela Cristina Baleanu

Authors
  1. Ali Khalili Golmankhaneh
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  2. Alireza Khalili Golmankhaneh
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  3. Dumitru Baleanu
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  4. Mihaela Cristina Baleanu
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Correspondence to Dumitru Baleanu.

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Golmankhaneh, A.K., Golmankhaneh, A.K., Baleanu, D. et al. Hamiltonian Structure of Fractional First Order Lagrangian. Int J Theor Phys 49, 365–375 (2010). https://doi.org/10.1007/s10773-009-0209-5

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  • DOI: https://doi.org/10.1007/s10773-009-0209-5

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