一类非线性分数阶微分方程反周期边值问题解的存在性

The Existence of Solution to a Class of Nonlinear Fractional Differential Equation with Anti-Periodic Boundary Value Conditions

利用Schauder不动点定理和Hlder不等式等方法研究了一类非线性反周期分数阶微分方程边值问题,证明了当满足一定条件时其解的存在性.

The existence of solutions for nonlinear fractional differential equation with fractional anti-periodic bound-ary conditions are studied. The Schauder fixed point theorem,the contraction mapping principle and H？lder inequal-ity are applied to establish the existence.