To study the symmetry and conserved quantity of fractional non-conservative dynamic systems

the Noether theorem based on El-Nabulsi periodic law quasi-fractional model in event space is proposed and studied. Firstly

the fractional order variational problem based on the El-Nabulsi periodic law quasifractional model is established in the event space

and the differential equations of the holonomic nonconservative system and the nonholonomic nonconservative system are derived. Secondly

based on the invariance of the action functional under the infinitesimal transformation

the definition and criterion of the Noether symmetric transform and the Noether quasi-symmetric transformation  are given. Finally

the Noether theorem based on the El-Nabulsi periodic law quasifractional model in the event space is proposed and proved. Two examples are given to illustrate the application of the results.