Hojman's conservation theorems for generalized Raitzin canonical equations of motion

Using the Lie symmetry under infinitesimal transformations in which the time is not variable, Hojman’s conservation theorems for Raitzin’s canonical equations of motion in generalized classical mechanics are studied. The generalized Raitzin’s canonical equations of motion are established. The determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman’s conservation theorems of the system are established. Finally, an example is also presented to illustrate the application of the result.