分数阶微分方程三点边值问题解的存在唯一性

Existence and Uniqueness of Solutions for a Class of Three-point Boundary Value Problems of Fractional Differential Equations

利用Schaefer不动点定理、压缩映像原理和Hder不等式,讨论了一类非线性分数阶微分方程的三点边值问题,得出了此类边值问题的解的存在性和唯一性的两个充分条件。

The paper concerns with the existence and uniqueness of solutions for a class of three - point boundary value prob- lems of fractional differential equations by the use of the fixed point theorem , the contraction mapping principle and inequality. A! last, two sufficient conditions are given.