LYAPUNOV-TYPE INEQUALITIES FOR A CLASS OF LINEAR SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS

被引：2
|
作者：
Peng, Youhua [1 ]
Wang, Xuhuan [1 ]
机构：
[1] Pingxiang Univ, Dept Math, Pingxiang 337500, Peoples R China
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2019年 / 28卷 / 04期
关键词：
Sequential fractional differential equations; Lyapunov inequality; Green's function; Boundary value problem; LIAPUNOV-TYPE INEQUALITY;
D O I：
10.12732/dsa.v28i4.6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the problem of Lyapunov-type inequality for a class of sequential fractional differential equations. By the properties of the Green's function and the eigenvalue intervals of the linear sequential fractional differential equation boundary value problem is considered, some sufficient conditions for the existence solutions for the boundary value problem is established. An example is given to show the validity of the results.
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页码：859 / 867
页数：9
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