The design and analysis of numerical methods are usually guided by the following:(a) von
Neumann analysis using Fourier series expansion of unknowns,(b) the modified differential …

In this paper we give a new method to investigate Noether symmetries and conservation
laws of nonconservative and nonholonomic mechanical systems on time scales T, which …

Abstract The Noether and Lie symmetries as well as the conserved quantities of Hamiltonian
system with fractional derivatives are established. The definitions and criteria for the …

This letter focuses on studying Lie symmetries and their inverse problems of the fractional
nonholonomic Hamilton systems. Based on the invariance of the fractional motion …

The conformal invariance and conserved quantity of Mei symmetry for a higher-order
nonholonomic mechanical system are presented. Introducing an infinitesimal transformation …

We investigate Noether symmetries and conservation laws of the discrete mechanico-
electrical systems with nonregular lattices. The operators of discrete transformation and …

The Lie symmetry theorem of fractional nonholonomic systems in terms of combined
fractional derivatives is established, and the fractional Lagrange equations are obtained by …

Symmetries and their associated conserved quantities are of great importance in the study of
dynamic systems. In this paper, we describe nonconservative field theories on time scales …

The theory of velocity-dependent symmetries (or Lie symmetry) and non-Noether conserved
quantities are presented corresponding to both the continuous and discrete …

An improved particle swarm optimization method that has better equilibrium characteristic
between global search and local search is proposed for parameter identification of …