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International Journal of Theoretical Physics

, Volume 51, Issue 9, pp 2909–2916 | Cite as

On the Fractional Hamilton and Lagrange Mechanics

  • Alireza Khalili Golmankhaneh
  • Ali Moslemi Yengejeh
  • Dumitru Baleanu
Article

Abstract

The fractional generalization of Hamiltonian mechanics is constructed by using the Lagrangian involving fractional derivatives. In this paper the equation of projectile motion with air friction using fractional Hamiltonian mechanics and equation for current loop involving electric source, a resistor, an inductor and a capacitor has been obtained. Furthermore, fractional optics has been introduced.

Keywords

Fractional derivative Fractional Hamiltonian Fractional optics Fractional Lagrangian Nonconservative systems 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Alireza Khalili Golmankhaneh
    • 1
  • Ali Moslemi Yengejeh
    • 2
  • Dumitru Baleanu
    • 3
    • 4
  1. 1.Department of PhysicsIslamic Azad University, Urmia BranchUrmiaIran
  2. 2.Department of PhysicsIslamic Azad University, Central Tehran BranchTehranIran
  3. 3.Department of Mathematics and Computer ScienceÇankaya UniversityAnkaraTurkey
  4. 4.Institute of Space SciencesMagurele-BucharestRomania

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