一类带积分边值条件的分数阶微分方程多个正解的存在性

Multiplicity of positive solutions for a class of fractional differential equations with integral boundary value conditions

在一致分数阶导数的定义下,利用上下解方法研究了一类带积分边值条件的非线性分数阶微分方程边值问题。结合Leray-Schauder度理论,得到了所研究问题正解及其多个正解的存在性。

In the definition of conformable fractional derivative,a class of nonlinear fractional differential equations with integral boundary value condition are studied by applying the method of lower and upper solution.Combined with Leray-Schauder degree theory,the existence of positive solutions and multiple solutions for the considered problem is obtained.