Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 47, Issue 10, Pages -Publisher
AIP Publishing
DOI: 10.1063/1.2356797
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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. (c) 2006 American Institute of Physics.
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