Fractional Hamiltonian analysis of higher order derivatives systems

Baleanu, DumitruMuslih, Sami I.Taş, Kenan2016-03-302016-03-302006Baleanu, 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/10.1063/1.23567970022-2488http://hdl.handle.net/20.500.12416/782The 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 derivativeseninfo:eu-repo/semantics/openAccessSequential MechanicsLinear VelocitiesLagrangiansFormulationQantizationEquationFieldsFractional Hamiltonian analysis of higher order derivatives systemsFractional Hamiltonian Analysis of Higher Order Derivatives SystemsArticle471010.1063/1.2356797