一类分数阶微分方程特征值问题解的存在性

Existence Results for a kind of Fractional Differential Equation with Eigenvalue

本文研究了一类带积分边界条件的分数阶微分方程边值问题,文中首先得到了相应问题的Green函数,进而根据Green函数的性质和锥上的不动点定理及不等式技巧,得到解的存在性和多解性.

In this paper, we deal with a kind of fractional boundary value problem with integral boundary contions. Firstly we give the Green function of corresponding problem, further by applying the properties of the Green function, some fixed point theorems and the inequalities, we get the existence of positive solution and multiplicity of solutions.