【摘要】 主要讨论在有限闭区间[a,b]上关于另一个函数的非线性Caputo分数阶微分方程.首先，给出了初值问题解的存在性和唯一性的充分条件.其次，利用Krasnoselskii不动点定理证明了该方程解的存在唯一性.最后，分两种情况讨论了系统的Ulam-Hyers-Rassias稳定性.更多还原

【Abstract】 This paper mainly discussed a nonlinear Caputo fractional differential equation with respect to another function on finite interval [a,b]. Firstly, sufficient conditions for the existence of solution and uniqueness for the initial value problem were obtained. Then, the existence of solution for the equation was proved by using Krasnoselskii’s fixed point theorem. At last, Ulam-Hyers-Rassias stability of the system was discussed in two forms.更多还原