分数阶微分方程奇异系统边值问题正解的存在性

Existence of Positive Solutions for Singular Boundary Value Problems of Fractional Differential Equations

主要讨论了一类带有奇异项的分数阶微分系统边值问题正解的存在性,通过讨论格林函数的性质,利用Krasnoselskii不动点定理得到该问题至少存在一个正解或两个正解的充分条件.

The existence of positive solutions for a class of fractional differential equations with singular terms is discussed in this paper. By discussing the properties of Green's functions, we use Krasnoselskii fixed point theorem to obtain the sufficient conditions for the problem to have at least one or two positive solutions.