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Fractional Hamiltonian analysis of higher order derivatives systems

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2006

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Aip Publishing

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Matematik
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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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Tas, Kenan/0000-0001-8173-453X

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Baleanu, D., Muslih, S.I., Taş, K. (2006). Fractional Hamiltonian analysis of higher order derivatives systems. Journal of Mathematical Physics, 47(10), Article no:103503. http://dx.doi.org/10.1063/1.2356797

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47

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10

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