带有积分边值条件的分数阶微分方程Ulam-Hyers稳定性

Ulam-Hyers Stability for Fractional Differential Equation with Integral Boundary Condition

应用压缩映射原则和Krasnosel'skii不动点定理研究一类带有积分边值条件的混合整数阶分数阶微分方程解的存在唯一性,且通过Banach不动点定理研究了其Ulam-Hyers-Rassias和Ulam-Hyers稳定性.最后,举例进行说明.

By means of contraction mapping principle and Krasnosel’skii fixed point theorem,we consider the existence and uniqueness of solution for a class of miaxed fractional differential equation with integral boundary condition.Further,the Ulam-Hyers-Rassias and Ulam-Hyers stability of the fractional differential equation is investigated in terms of the Banach fixed point theorem.Finally,we illustrate the results with an example.