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

被引：0
|
作者：
Meiqiang Feng
Xuemei Zhang
WeiGao Ge
机构：
[1] Beijing Information Science & Technology University,School of Applied Science
[2] North China Electric Power University,Department of Mathematics and Physics
[3] Beijing Institute of Technology,Department of Mathematics
来源：
Boundary Value Problems | / 2011卷
关键词：
Fractional Derivative; Fractional Differential Equation; Integral Boundary Condition; Multiple Positive Solution; Nonlinear Fractional Differential Equation;
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中图分类号：
学科分类号：
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.
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