带有积分与无穷点边值条件的分数阶微分方程的正解

Positive Solutions for Fractional Differential Equations with Integral and Infinite-Point Boundary Conditions

研究一类带有积分边值条件和无穷点边值条件的分数阶微分方程的正解问题.借助Green函数有关的性质,并利用锥上不动点定理,获得该问题正解的存在性结果.最后给出一个例子说明所得结果的应用性.

We study the positive solutions of a class of fractional differential equations with integral boundary conditions and infinite-point boundary value conditions.By mean of the properties of Green function and the fixed point theorem of cone expansion and compression of norm type,the existence results of the positive solution of the boundary value problem are obtained.Finally,we also give an example to illustrate the applicability of the results.