Abstract: Based on the invariance of differential equation under infinitesimal transformation, we studied Lie symmetry and conserved quantity for a singular nonconservative Lagrangian system on time scales. Firstly, we established the differential equation of motion on time scales. Secondly, based on the invariance of differential equations under infinitesimal transformations on time scales, we established the conserved quantity of the Lie symmetry on time scale. Finally, we gave an example to illustrate the application of the result.

Key words: singular system, time scale, Lagrangian system, Lie symmetry, conserved quantity