Fractional Hamiltonian analysis of higher order derivatives systems
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🧮 math-ph
math.MP
keywords
fractionalderivativesanalysishamiltonianobtainedorderoscillatoracceleration-squares
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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.
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