广义分数阶受迫Birkhoff方程  

GENERALIZED FRACTIONAL FORCED BIRKHOFF EQUATIONS

作　　者：宋传静 Song Chuanjing(School of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou 215009,China)

机构地区：[1]苏州科技大学数理学院

出　　处：《动力学与控制学报》2019年第5期446-452,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11802193,11572212);江苏省高等学校自然科学基金资助项目(18KJB130005);江苏省政府留学基金资助项目;苏州科技大学科研启动基金资助项目(331812137);苏州科技大学自然科学基金资助项目~~

摘　　要：研究受迫Birkhoff系统的分数阶变分问题,建立具有这两种分数阶微分算子的广义分数阶受迫Birkhoff方程.然后,给出具有这两种分数阶微分算子的分数阶Hamilton方程和分数阶Lagrange方程.最后,讨论广义分数阶Lotka 生化振子模型和广义分数阶Hojman Urrutia模型.The fractional calculus of variations for a forced Birkhoffian system with two fractional differential operators was studied,and the generalized fractional forced Birkhoff equations were obtained.Then,the fractional Hamilton equations and fractional Lagrange equations with two fractional differential operators were presented,respectively.Finally,the generalized fractional Lotka biochemical oscillator model and the generalized fractional Hojman Urrutia model were discussed,respectively.

关 键 词：分数阶微分算子 变量微积分 分数阶受迫Birkhoff方程 

分 类 号：O17[理学—数学]