一个新的分数阶动力学模型团簇:分数阶Emden-Fowler模型团簇  

A new family of fractional dynamical models: family of fractional Emden-Fowler models

作　　者：辛波 XIN Bo(Institute of Mathematical Mechanics and Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China)

机构地区：[1]浙江理工大学数学力学与数学物理研究所,浙江杭州310018

出　　处：《商丘师范学院学报》2022年第3期33-38,共6页Journal of Shangqiu Normal University

摘　　要：发现而且构造了一个新的分数阶动力学模型团簇,即分数阶Emden-Fowler动力学模型团簇.首先,介绍了分数阶广义Hamilton方法.然后,利用分数阶广义Hamilton方法,构造了一个新的分数阶动力学模型,即分数阶Emden-Fowler动力学模型.进一步,利用分数阶和非线性问题不确定性的分数阶广义Hamilton表示,发现并构造了分数阶Emden-Fowler动力学模型团簇.最后,对于分数阶Emden-Fowler动力学模型及其团簇的后续研究,给出讨论与总结.In this paper, a new family of fractional dynamical models, i.e.a family of fractional Emden-Fowler dynamical models is found and constructed.Firstly, the fractional generalized Hamilton method is introduced.Then, by using the fractional generalized Hamilton method, a new fractional dynamical model, i.e.fractional Emden-Fowler dynamical model is constructed.Furthermore, a family of fractional Emden-Fowler dynamical models is found and constructed by using the fractional generalized Hamilton representation of the uncertainty of fractional and nonlinear problems.Finally, the follow-up study on the fractional Emden-Fowler dynamical model and the family of fractional Emden-Fowler dynamical models are discussed and summarized.

关 键 词：分数阶动力学 分数阶广义Hamilton方法 分数阶Emden-Fowler动力学模型 分数阶Emden-Fowler动力学模型团簇 

分 类 号：O316[理学—一般力学与力学基础]