一类分数阶微分方程积分边值问题正解的存在性  

Existence of Positive Solutions for a Class of Integral Boundary Value Problem of Fractional Differential Equations

作　　者：宋利梅[1] SONG Li-mei(School of Mathematics,Jiaying University,Meizhou 514015,China)

机构地区：[1]嘉应学院数学学院,广东梅州514015

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)。

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.

关 键 词：分数微分方程 边值问题 正解 不动点定理 

分 类 号：O175.8[理学—数学]