Lie symmetries and conserved quantities of fractional nonconservative singular systems

Abstract In this paper, according to the fractional factor derivative method, we study Lie symmetry theory of nonconservative singular Lagrange systems in a configuration space. First, calculus is calculated by using factor, and equations motion are derived differential variational principle. Second, determining limiting under an infinitesimal group transformation obtained. Furthermore, conserved quantity form caused obtained constructing gauge‐generating function that fulfills structural equation, which conforms Noether criterion equation. Finally, present example calculation. The results show condition more strict than conservative systems, but because increased invariance restriction, forces do not change quantity; meanwhile, method has high natural consistency with integral calculus, so integer‐order can be easily extended systems.