本文引用格式:宋传静.广义分数阶受迫Birkhoff方程[J].动力学与控制学报,2019,17(5):446~452;   Song Chuanjing.Generalized fractional forced Birkhoff equations[J].Journal of Dynamics and Control,2019,17(5):446-452. 广义分数阶受迫Birkhoff方程    点此下载全文 宋传静 苏州科技大学 数理学院, 苏州 215009 基金项目：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)及苏州科技大学自然科学基金资助项目 DOI：10.6052/1672-6553-2019-057 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.〖JP〗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. 关键词：分数阶微分算子,变量微积分,分数阶受迫Birkhoff方程 Generalized fractional forced Birkhoff equations    Download Fulltext Song Chuanjing Fund Project: Abstract: 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. Keywords:fractional differential operator,calculus of variation,fractional forced Birkhoff equation 查看全文  查看/发表评论  下载PDF阅读器

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