摘要
研究一类Caputo型分数阶微分方程边值问题,运用Banach压缩映射原理和广义Lipschitz条件,通过计算Green函数,得到其解存在唯一性.
In this paper, the boundary value problem of fractional differential equation of Caputo is investigated. With the help of the Banach contraction mapping theory and generalized Lipschitz condition, the existence and uniqueness of positive solutions are obtained by calculating paternity Green function.
出处
《河南科学》
2014年第3期321-324,共4页
Henan Science
基金
河南省自然科学基金(122300410130)
河南工业大学科学研究基金项目(2012YJCX63)
关键词
BANACH压缩映射原理
分数阶微分方程边值问题
解存在唯一性
the Banach contraction mapping theory
the boundary value problem of fractional differentialequation： existence and uniqueness of solutions
