Fractional Dynamical System and Its Linearization Theorem

摘要：

Nowadays, it is known that the solution to a fractional differential equation cant generally define a dynamical system in the sense of semigroup property due to the history memory induced by the weakly singular kernel. But we can still establish the similar relationship between a fractional differential equation and the corresponding fractional flow under a reasonable condition. In this paper, we firstly present some results on fractional dynamical system generated by fractional differential equation with Caputo derivative. Furthermore, the linearization and stability theorems of the nonlinear fractional system are also shown. Several illustrative examples are given as well to support the theoretical analysis.

关键词： Fractional dynamical system fractional flow Caputo derivative linearization theorem.

作者: Changpin Li Yutian Ma

作者单位: Department of Mathematics, Shanghai University, Shanghai 200444,PR China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-8

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）