基于El-Nabulsi分数阶模型的广义Birkhoff系统的积分因子方法

Integrating factor method for the generalized Birkhoff systems based on El-Nabulsi fractional order model

将积分因子方法应用于El-Nabulsi分数阶模型下广义Birkhoff系统.首先,给出了分数阶广义El-Nabulsi-Birkhoff方程的积分因子定义;其次,寻求El-Nabulsi分数阶模型下Birkhoff系统守恒量存在的必要条件,建立了相应的守恒定理;最后,讨论了该系统特例情况下的积分因子方法.

This paper applies integrating factors method for the generalized Birkhoff systems based on El-Nabulsi fractional order model.Firstly,the definition of the integrating factors for fractional order generalized El-Nabulsi-Birkhoff equations is given;Secondly,the necessary conditions for the existence of conserved quantities of it are obtained;the corresponding conservation theorem is established;Finally,the special case about integrating factors method for this system is discussed.