Integrating factors and conserved quantities for fractional Birkhoffian system
YANG Lixia1， ZHANG Yi2
1.College of Mathematics and Physics， Suzhou University of Science and Technology， Suzhou， Jiangsu 215009， China；2.College of Civil Engineering， Suzhou University of Science and Technology， Suzhou， Jiangsu 215011， China
Abstract：In terms of Riemann-Liouville derivatives， a new method of finding the conserved quantities of fractional Birkhoff system by using the integral factor theory was proposed. Firstly， based on the fractional Birkhoffian equations， the definition of integrating factors was given. Secondly， the relation between the integrating factors and the conserved quantities was studied. The conservation theorem for the fractional Birkhoffian system was established. The results contain the conservation theorem for the fractional Hamiltonian system as special. At the end of the paper， an example was given to illustrate the application of the results.
2020, Vol. 54 
