Muslih, Sami I.Rabei, Eqab M.Golmankhaneh, Alireza K.Golmankhaneh, Ali K.Baleanu, Dumitru2016-06-092025-09-182016-06-092025-09-182010Baleanu, D...et al. (2010). On fractional dynamics on the extended phase space. Journal of Computational and Nonlinear Dynamics, 5(4). http://dx.doi.org/10.1115/1.40020911555-14231555-1415https://doi.org/10.1115/1.4002091https://hdl.handle.net/20.500.12416/12325Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; Khalili Golmankhaneh, Alireza/0000-0003-1529-7807Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced. The fractional Hamiltonian on the extended phase space is analyzed and the corresponding generalized Poisson's brackets are constructed. [DOI: 10.1115/1.4002091]eninfo:eu-repo/semantics/closedAccessCalculusDifferential EquationsFokker-Planck EquationArticle10.1115/1.40020912-s2.0-84973176669