【摘要】 利用Leray-Schauder二择一定理和Schauder不动点定理，研究了一类具有Caputo-Katugampola型导数的分数阶微分方程耦合系统边值问题解的存在唯一性，再利用Banach不动点定理和Ulam-Hyers稳定性的定义，讨论了该边值问题的Ulam-Hyers稳定性.更多还原

【Abstract】 In this paper, by using Leray-Schauder alternative theorem and Schauder fixed point theorem, we study the existence and uniqueness of solutions of boundary value problems for a class of fractional differential equations coupled systems with Caputo-Katugampola derivatives, and study the Ulam-Hyers stability of the boundary value problems by using Banach fixed point theorem and the definition of Ulam-Hyers stability.更多还原