分数阶微分方程反周期边值问题的几种解法

摘要

This paper ob equations by three meth is continuous and bound tion, fixed point theorem nation tains the solutions to anti-periodic boundary value problem of Caputo fractional differential ods under different conditions. They are Leray-Schauder degree theorem when the system ed, Banach contraction mapping principle when the right function satisfies Lipschitz condi-under linear growth. Moreover, the author of this paper provides some examples for expla-nation.%分别利用Leray—Schauder度理论、Banach压缩映射原理、不动点理论证明了Caputo分数阶微分方程反周期边值问题在右端函数连续有界、满足Lipschitz条件及线性增长的条件下的解的存在性，并给出具体例子予以说明．