摘要
研究了一类分数阶微分方程积分边值问题正解的存在性和唯一性,利用锥拉伸与锥压缩型的Krasnosel’ skii不动点定理,得到了该边值问题正解的存在性和唯一性定理.作为主要结论的应用,给出2个例子验证了所得结果.
We study the existence and uniqueness of positive solutions for a class of integral boundary value problem of fractional differential equations. The theorems of the existence and uniqueness of positive solutions are obtained by Krasnosel’skii fixed-point theorem of cone expansion-compression type. As an application, two examples are given to illustrate the main results.
作者
宋利梅
SONG Li-mei(School of Mathematics,Jiaying University,Meizhou 514015,China)
出处
《嘉应学院学报》
2020年第3期1-5,共5页
Journal of Jiaying University
基金
广东省自然科学基金资助项目(2018A0303100016)。
关键词
分数微分方程
边值问题
正解
不动点定理
fractional differential equation
boundary value problem
positive solution
fixed point theorem