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On Fractional Variational Principles

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Advances in Fractional Calculus

The paper provides the fractional Lagrangian and Hamiltonian formulations of mechanical and field systems. The fractional treatment of constrained system is investigated together with the fractional path integral analysis. Fractional Schrüdinger and Dirac fields are analyzed in details. Keywords Fractional calculus, fractional variational principles, fractional Lagrangian and Hamiltonian, fractional Schrödinger field, oing fractional Dirac field.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, Çankaya University, 06530, Turkey

    Dumitru Baleanu

  2. Department of Physics, Al-Azhar University, Gaza, Palestine

    Sami I. Muslih

Authors
  1. Dumitru Baleanu
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  2. Sami I. Muslih
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Editor information

Editors and Affiliations

  1. Université Bordeaux 1, – ENSEIRB, 351 cours de la Libération, F33405, Talence Cedex, France

    Jocelyn Sabatier

  2. Southern Illinois University, 62901, Carbondale, IL, USA

    Om Prakash Agrawal

  3. Institute of Engineering of Porto, Rua Dr. António Bernardino de Almeida, 4200-072, Porto, Portugal

    J. A. Tenreiro Machado

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Baleanu, D., Muslih, S.I. (2007). On Fractional Variational Principles. In: Sabatier, J., Agrawal, O.P., Machado, J.A.T. (eds) Advances in Fractional Calculus. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6042-7_8

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  • DOI: https://doi.org/10.1007/978-1-4020-6042-7_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6041-0

  • Online ISBN: 978-1-4020-6042-7

  • eBook Packages: EngineeringEngineering (R0)

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