摘要
研究了一类Caputo分数阶差分方程边值问题解的存在性.利用Caputo分数阶差分方程及边值条件的特性给出了它的Green’s函数,借助于Banach压缩映像原理、Krasnosel’skiis不动点定理和Leray-Schauder非线性抉择定理得到边值问题解的存在性,作为应用,给出一个例子验证所得的主要结果.
The existence of solution to boundary value problem of a class of Caputo fractional-order difference equations is studied.The features of these equations and boundary conditions are used to give out their Green＇s function.The existence of solutions to boundary value problem is obtained by means of Banach＇s contraction mapping principle,Krasnosel＇skiis fixed point theorem,and Leray-Schauder nonlinear alternative theorem,and as an application,an example is given to verify the main result obtained.
出处
《兰州理工大学学报》
CAS
北大核心
2017年第6期161-165,共5页
Journal of Lanzhou University of Technology
基金
新疆高校科研计划重点课题(XJEDU2014I040)
国家自然科学基金(11361047
11501560)
江苏省自然科学基金(BK20151160)
江苏省六大人才高峰项目(22013-JY-003)
关键词
分数阶差分方程
边值问题
解的存在性
Green’s函数
fractional-order difference equation
boundary value problem
existence of solutions
Green＇s function
