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
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)