Noether symmetry for fractional Hamiltonian system

Publication date: Available online 29 August 2019Source: Physics Letters AAuthor(s): C.J. SongAbstractFractional Hamiltonian systems within combined Riemann-Liouville fractional order derivative and combined Caputo fractional order derivative are established. Then Noether quasi-symmetry and conserved quantity for the fractional Hamiltonian systems are presented. Thirdly, perturbation to Noether quasi-symmetry and adiabatic invariant are studied. Several special cases are discussed in each section. And finally, two applications, i.e., the fractional Lotka biochemical oscillator model and the fractional isotropic harmonic oscillator model, are discussed to illustrate the results and methods.

Source: Physics Letters A - August 31, 2019 Category: Physics Source Type: research