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- Title
Noether's Theorem of Herglotz Type for Fractional Lagrange System with Nonholonomic Constraints.
- Authors
Deng, Yuanyuan; Zhang, Yi
- Abstract
This research aims to investigate the Noether symmetry and conserved quantity for the fractional Lagrange system with nonholonomic constraints, which are based on the Herglotz principle. Firstly, the fractional-order Herglotz principle is given, and the Herglotz-type fractional-order differential equations of motion for the fractional Lagrange system with nonholonomic constraints are derived. Secondly, by introducing infinitesimal generating functions of space and time, the Noether symmetry of the Herglotz type is defined, along with its criteria, and the conserved quantity of the Herglotz type is given. Finally, to demonstrate how to use this method, two examples are provided.
- Subjects
NOETHER'S theorem; NONHOLONOMIC constraints; CONSERVED quantity; NONHOLONOMIC dynamical systems; CONSERVATION laws (Mathematics); FRACTIONAL differential equations; GENERATING functions
- Publication
Fractal & Fractional, 2024, Vol 8, Issue 5, p296
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract8050296