New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions

Boundary value problems

Xuemei Zhang¹  WeiGao Ge²  Meiqiang Feng⁴ 

[1]Technology University, Beijing, China

[2]Department of Mathematics and Physics, North China Electric Power University, Beijing, China

[3]Department of Mathematics, Beijing Institute of Technology, Beijing, China

[4]School of Applied Science, Beijing Information Science &

关键词: Fractional Derivative;    Fractional Differential Equation;    Integral Boundary Condition;    Multiple Positive Solution;    Nonlinear Fractional Differential Equation;   

DOI  :  10.1155/2011/720702

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying Krasnoselskii's fixed-point theorem in cones. The nonexistence of positive solutions is also studied.

【 授权许可】

CC BY