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一类分数阶微分方程边值问题解的存在性

蔡宁宁 苏新卫 张淑琴

郑州大学学报(理学版)2017,Vol.49Issue(2):7-13,7.
郑州大学学报(理学版)2017,Vol.49Issue(2):7-13,7.DOI:10.13705/j.issn.1671-6841.2016210

一类分数阶微分方程边值问题解的存在性

Existence of Solutions to a Boundary Value Problem of Fractional Differential Equations

蔡宁宁 1苏新卫 1张淑琴1

作者信息

  • 1. 中国矿业大学(北京) 理学院 北京 100083
  • 折叠

摘要

Abstract

The existence of solutions to a boundary value problem of fractional differential equations on the half-axis in a Banach space was studied.The boundary value problem was transformed into an equivalent integral equation.By the properties of the Kuratowski noncompactness measure and Darbo's fixed point theorem, the existence of solutions of boundary value problem were proved.An example illustrating the main result was also given.

关键词

分数阶微分方程/边值问题/Banach空间/非紧性测度

Key words

fractional differential equation/boundary value problem/Banach space/noncompactness measure

分类

数理科学

引用本文复制引用

蔡宁宁,苏新卫,张淑琴..一类分数阶微分方程边值问题解的存在性[J].郑州大学学报(理学版),2017,49(2):7-13,7.

基金项目

国家自然科学基金项目(11371364). (11371364)

郑州大学学报(理学版)

OA北大核心CSTPCD

1671-6841

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