一类Hadamard分数阶微分方程边值问题解的存在唯一性

Existence and uniqueness of solution for boundary value problems of a class of Hadamard fractional differential equations

摘要:

利用Leray-Schauder选择原理及Banach压缩映射原理,本文在一定的非线性增长和 压缩条件下研究了一类具有Hadamard积分边值条件的Hadamard分数阶微分方程边值问 题, 获得了该问题解的存在唯一性的充分条件,并给出了两个具体例子.

Abstract:

By using the Leray-Schauder’s alternative principle and Banach’s contraction principle and combined with some nonlinear growth and contraction conditions, a class of Hadamard fractional differential equations with Hadamard integral boundary conditions are investigated. Existence and uniqueness of solution for the relevant boundary value problems are established. Two examples are given to illustrate the application of the results．