Fractional Hamiltonian analysis of higher order derivatives systems
arXiv:math-ph/0612024 · doi:10.1063/1.2356797
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.
13 pages
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