On the Fractional Hamilton and Lagrange Mechanics

Khalili Golmankhaneh A., Yengejeh A. M., Baleanu D.

International Journal of Theoretical Physics, cilt.51, sa.9, ss.2909-2916, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 9
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10773-012-1169-8
  • Dergi Adı: International Journal of Theoretical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2909-2916
  • Anahtar Kelimeler: Fractional derivative, Fractional Hamiltonian, Fractional Lagrangian, Fractional optics, Nonconservative systems
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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. © 2012 Springer Science+Business Media, LLC.