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非线性分数阶微分方程耦合系统三点边值问题解的存在性

姜小霞 欧阳自根 彭湘凌

南华大学学报(自然科学版)Issue(1):94-99,6.
南华大学学报(自然科学版)Issue(1):94-99,6.

非线性分数阶微分方程耦合系统三点边值问题解的存在性

Existence of the Solutions for a Coupled Systems of Nonlinear Fractional Order with Three-point Boundary Value Problem

姜小霞 1欧阳自根 1彭湘凌1

作者信息

  • 1. 南华大学 数理学院,湖南 衡阳421001
  • 折叠

摘要

Abstract

In this paper,we study the three-point boundary value problem to a coupled system of nonlinear fractional differential equations. By the means of the Green’s function,the system can be reduced to the equivalent integral equation. Then we obtain some sufficient conditions for the existence of the solutions for the system by using the Schauder fixed-point theorem.

关键词

耦合系统/边值问题/Riemann-Liouville分数阶导数/Schauder不动点定理

Key words

coupled system/boundary value problem/Riemann-Liouville fractional deriva-tive/Schauder fixed-point theorem

分类

数理科学

引用本文复制引用

姜小霞,欧阳自根,彭湘凌..非线性分数阶微分方程耦合系统三点边值问题解的存在性[J].南华大学学报(自然科学版),2015,(1):94-99,6.

南华大学学报(自然科学版)

1673-0062

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