Existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition

被引：0

作者：

Yabing Gao

Pengyu Chen

机构：

[1] Northwest Normal University,Department of Mathematics

来源：

Advances in Difference Equations | / 2016卷

关键词：

nonlinear fractional differential equation; nonlocal boundary value problem; monotone iterative technique of upper and lower solutions; 26A33; 34B10; 34B15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition by using the monotone iterative technique based on the method of upper and lower solutions and give a specific iterative equation about its solutions.

引用

共 50 条

[1] Existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition
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[3] Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations
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[9] POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS
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[10] Existence of solutions for a nonlinear fractional differential equation with integral boundary condition
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