非线性项变号的分数阶微分方程边值问题正解的存在性

Existence of Positive Solutions for A Class of Fractional Differential Equations with Sign Changing Nonlinearities

研究了一类分数阶微分方程边值问题正解的存在性.在允许非线性项变号的情况下,利用锥拉伸锥压缩不动点定理,得到了分数阶微分方程边值问题正解的存在性定理,所得结论突显了参数在不同范围内对正解存在性的影响.

The existence of positive solutions of boundary value problems for fractional differential equations with sign changing nonlinearities was investigated. By using expansion and compression fixed point theorem in cone, the theorem of existence of positive solutions of boundary value problems for a class of fractional differential equations was obtained. The conclusions highIight the influences of the parameters in different ranges on the existence of vositive solutions.