Existence and uniqueness of solutions for fractional differential equations with integral boundary conditions

摘要：

In this paper, we discuss a boundary value problem of nonlinear fractional differential equations of order α∈(n-1,n with integral boundary conditions. Some new existence and uniqueness results are obtained by using the contraction mapping principle and the nonlinear alternative of Leray- Schauder type. As an application, two examples are presented to illustrate the main results.

关键词： Boundary value problem Fractional differential equations Riemann-Liouville fractional derivative Contraction mapping theorem.

作者: Wen-Xue Zhou Ying-xiang Chang Hai-zhong Liu

作者单位: Department of Mathematics, Lanzhou Jiaotong University, Gansu Lanzhou,730070, China Department of Ma Department of Mathematics, Lanzhou Jiaotong University, GansuLanzhou, 730070, China Department of Mathematics, Lanzhou Jiaotong University, Gansu Lanzhou, 730070, 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: 1-4

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）