带积分边值条件的分数阶微分方程解的存在性

Existence of Solutions for Fractional Differential Equation with Integral Boundary Value Condition

用Banach压缩映像原理和Schauder不动点定理,讨论带分数阶边值条件的一类非线性项包含低阶分数阶导数的分数阶微分方程,证明其解的存在唯一性,并给出应用实例.

By using the Banach contraction mapping principle and the Schauder's fixed point theorem,we discussed a fractional differential equation with a class of nonlinear terms depending upon fractional derivative of lower order under fractional integral boundary condition,proved the existence and uniqueness of its solution,and gave some application examples.