Noether’s Theorem of Herglotz Type for Fractional Lagrange System with Nonholonomic Constraints
Yuanyuan Deng,
Yi Zhang
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 typ… Show more
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