研究了一类非线性分数阶微分方程四点边值问题解的存在性和唯一性,利用Schauder不动点定理以及压缩映像原理,得到了边值问题解的存在性以及唯一性的充分条件。
This paper investigates existence and uniqueness of solutions for a type of four-point boundary value problems with fractional order differential equation. By using the Schauder fixed point theorem and the Banach contraction principle,we obtain the sufficient conditions of the existence and uniqueness of solutions for the nonlinear fractional four-point boundary value problems.