Fractional Hamiltonian analysis of higher order derivatives systems

Baleanu D., Muslih S. I., TAŞ K.

Journal of Mathematical Physics, vol.47, no.10, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 10
  • Publication Date: 2006
  • Doi Number: 10.1063/1.2356797
  • Journal Name: Journal of Mathematical Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Uşak University Affiliated: No

Abstract

The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski's formulation is obtained. The fractional path integral of both simple harmonic oscillator with an acceleration-squares part and a damped oscillator are analyzed. The classical results are obtained when fractional derivatives are replaced with the integer order derivatives. © 2006 American Institute of Physics.