Baleanu, DumitruJarad, Fahd2025-05-132025-05-1320067354032870094-243Xhttps://doi.org/10.1063/1.2205033https://hdl.handle.net/20.500.12416/9922Jarad, Fahd/0000-0002-3303-0623; Baleanu, Dumitru/0000-0002-0286-7244The paper provides the discrete Lagrangian and Hamiltonian formulations of mechanical systems for both non-singular and singular cases. The Lagrangians with linear velocities and with higher velocities are investigated and the corresponding difference Euler-Lagrange equations and Hamiltonians are found.eninfo:eu-repo/semantics/closedAccessDiscrete MathematicsVariational PrinciplesDifference Discrete Variational PrinciplesConference Object10.1063/1.22050332-s2.0-33845575431