Disturbation to Lie symmetry for constrained Hamiltonian system within Agrawal’s operators

Abstract

Lie theorem for a constrained Hamiltonian system under Agrawal’s operators is studied and proved. First, two fractional singular systems are listed. Second, the Lie symmetry of the constrained Hamiltonian system under Agrawal’s operators is defined. Third, Lie theorems of two fractional constrained Hamiltonian systems are derived and proved, and Lie conserved quantities are obtained. Furthermore, the disturbation to symmetry under Agrawal’s operators is studied. An application is given in the end.