Relativistic scalar fields for non-conservative systems

Khalili Golmankhaneh A.

3rd International Workshop on Fractional Differentiation and its Applications, FDA08, Ankara, Türkiye, 5 - 07 Kasım 2008, cilt.T136, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: T136
  • Doi Numarası: 10.1088/0031-8949/2009/t136/014008
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Hamiltonian and Lagrangian formulation for non-conservative systems was obtained using fractional derivatives. In view of fractional derivatives, one can obtain the potential corresponding to the non-conservative force. In the present paper, fractional relativistic scalar fields for non-conservative systems and fractional Poisson brackets involving Caputo fractional derivatives have been introduced. Using an illustrative example, we have explained formalism. © 2009 The Royal Swedish Academy of Sciences.