The Existence of Solutions to a Class of Multi-point Boundary Value Problem of Fractional Differential Equation

被引：1

作者：

Xiaohong HAO

Zongfu ZHOU

机构：

[1] DepartmentofMathematicalSciences,AnhuiUniversity

来源：

数学研究及应用 | 2013年 / 33卷 / 02期

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D O I：

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学科分类号：

摘要：

In this paper,we consider the following multi-point boundary value problem of fractional differential equation Dα0+u(t) = f(t,u(t),Dα 10+u(t),Dα 20+u(t),Dα 30+u(t)),t ∈(0,1),mI4 α0+u(0) = 0,Dα 10+u(0) =i=1αiDα 10+u(ξi),Dα 20+u(1) =nj=1βjDα 20+u(ηj),Dα 30+u(1) Dα 30+u(0) = Dα 20+u(12),where 3 < α≤ 4 is a real number.By applying Mawhin coincidence degree theory and constructing suitable operators,some existence results of solutions can be established.

引用

页码：175 / 188

页数：14

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