| 基于El-Nabulsi分数阶模型的广义Birkhoff系统的积分因子方法 |
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| 引用本文： | 蔡琼辉,张毅,朱建青.基于El-Nabulsi分数阶模型的广义Birkhoff系统的积分因子方法[J].华中师范大学学报(自然科学版),2018,52(2):183-187. |
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| 作者姓名： | 蔡琼辉 张毅 朱建青 |
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| 作者单位： | 1.苏州科技大学数理学院， 苏州 215009； 2.苏州科技大学土木工程学院， 苏州 215011 |
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| 摘 要： | 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.
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| 关 键 词： | El-Nabulsi分数阶模型 广义Birkhoff系统 积分因子 守恒量 |
| 收稿时间： | 2018-04-17 |
Integrating factor method for the generalized Birkhoff systems based on El-Nabulsi fractional order model |
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| CAI Qionghui,ZHANG Yi,ZHU Jianqing.Integrating factor method for the generalized Birkhoff systems based on El-Nabulsi fractional order model[J].Journal of Central China Normal University(Natural Sciences),2018,52(2):183-187. |
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| Authors: | CAI Qionghui ZHANG Yi ZHU Jianqing |
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| Institution: | 1.College of Mathematics and Physics， SUST， Suzhou 215009， China；2.College of Civil Engineering， SUST， Suzhou 215011， China |
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| Abstract: | 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. |
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| Keywords: | El-Nabulsi fractional order model the generalized Birkhoff systems integrating factor conserved quantity |
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