On Noether symmetry of relativity to non-inertial systems for variable mass nonholonomic systems on time scales

The Noether symmetry and conserved quantity of variable mass nonholonomic systems relative to non-inertial systems on time scale have been studied in the research. On the basis of Hamilton principle, the equation of motion of the variable mass nonholonomic systems relative to non-inertial systems on time scales have been established. The criterion of Noether generalized quasi-symmetry and conserved quantity of this system are given, and the conserved quantity has been proved. Finally, an example is given to illustrate the application of the research results.