Fractional time-scales Noether theorem with Caputo Δ derivatives for Hamiltonian systems

作者：

Highlights：

• Fractional time-scales Hamilton (FTH) canonical equations are formulated.

• Definitions and criteria of Noether symmetries for FTH systems are given.

• The Noether theorem with transforming time for FTH systems is obtained.

• The fractional time-scales damped oscillator and Kepler problem are simulated.

摘要

•Fractional time-scales Hamilton (FTH) canonical equations are formulated.•Definitions and criteria of Noether symmetries for FTH systems are given.•The Noether theorem with transforming time for FTH systems is obtained.•The fractional time-scales damped oscillator and Kepler problem are simulated.

论文关键词：Noether theorem,Caputo Δ derivative,Fractional time-scales calculus,Hamiltonian system

论文评审过程：Received 15 July 2020, Revised 13 October 2020, Accepted 18 October 2020, Available online 18 November 2020, Version of Record 18 November 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125753