Tas, KenanBaleanu, DumitruMuslih, Sami I.2016-03-302025-09-182016-03-302025-09-182006Baleanu, 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/10.1063/1.23567970022-24881089-7658https://doi.org/10.1063/1.2356797https://hdl.handle.net/20.500.12416/13171Tas, Kenan/0000-0001-8173-453XThe 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.eninfo:eu-repo/semantics/openAccessArticle10.1063/1.23567972-s2.0-33750541076