一类变号奇异分数阶边值问题的正解

Positive Solutions of a Sign-changing Singular Fractional Order Boundary Value Problems

通过构造修正函数并结合降阶法,得到了一类变号奇异分数阶微分方程边值问题多个正解的存在性,其中,非线性项含有未知函数的分数阶导数且允许变号最后也给出一个例子说明主要结果的应用.

In this paper, by constructing a modified function and combining with reducing order method, we obtain the existence of multiple positive solutions for a singular changing-sign fractional order differential equation, where the nonlinear term contains fractional derivatives of unknown functions and allow to change sign. We also give an example to illuminate the application of main results.