分数阶微分方程反周期边值问题解的存在唯一性

Existence and uniqueness solutions to anti-periodic boundary value problems of fractional difference equations

研究一类带有反周期边值条件的Caputo分数阶微分方程解的存在唯一性.利用Caputo分数阶微分方程及反周期边值条件,给出它的Green函数;应用Banach压缩映像原理,得到问题解的存在唯一性.

The paper studied the existence and uniqueness of the solutions to the Caputo fractional difference equation with anti-periodic boundary value problems.First,the Green’s function was given by using the Caputo fractional difference equation and anti-periodic boundary value conditions.By applying the Banach contraction mapping principle,some existence and uniqueness of solutions were obtained.