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

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.