一类耦合交错的Hadamard型分数阶微分方程组解的存在唯一性

Existence and Uniqueness of Solution for A Coupled HybridHadamard Fractional Differential System

利用Banach压缩映射原理和Leray-Schauder抉择原理,研究了一类具有耦合交错的Hadamard型分数阶微分方程组边值问题,并获得了该问题存在唯一解和至少有一个解的充分条件,给出的两个数值计算例子说明了结果的应用性。

Boundary value problems for a coupled hybrid Hadamard differential system is studied by employing Banach compression mapping principle and Leray-Schauder decision principle,and sufficient conditions for the existence of boundary value problem of the unique solution and at least one solution are established.Two numerical examples are provided to illustrate the application of the theorems.