Fractional Hamiltonian analysis of higher order derivatives systems
Mathematical Physics
2015-06-26 v1 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0612024,
title = {Fractional Hamiltonian analysis of higher order derivatives systems},
author = {Dumitru Baleanu and Sami I. Muslih and Kenan Tas},
journal= {arXiv preprint arXiv:math-ph/0612024},
year = {2015}
}
Comments
13 pages