Baleanu, D.Muslih, S.I.Khalili Golmankhaneh, A.K.Khalili Golmankhaneh, A.K.Rabei, E.M.2025-05-132025-09-182025-05-132025-09-182010978079184325397807918489829780791849019978079184902697807918490339780791849040978079184905797807918489999780791849002https://doi.org/10.1115/DETC2009-86586The Design Engineering Division, ASME; The Computers and Information in Engineering Division, ASMEFractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively as an alternative tool in order to describe the physical complex phenomena. In this paper we have discussed the fractional extension of the classical dynam ics. The fractional Hamiltonian is constructed and the fractional generalized Poisson 's brackets on the extended phase space is established. Copyright © 2009 by ASME.eninfo:eu-repo/semantics/closedAccessConference Object10.1115/DETC2009-865862-s2.0-77953708547