|
| 摘要: |
| 本文研究了一类Caputo-Hadamard型分数阶微分方程边值问题的解.利用Banach不动点定理和上下解方法，获得了解的存在性和唯一性，推广了常微分方程边值问题的一些结果.作为应用，给出了两个例子来说明我们的主要结果. |
| 关键词: 分数阶微分方程 Caputo-Hadamard导数 Banach不动点定理 上下解 |
| DOI： |
| 分类号:O175.8 |
| 基金项目: |
|
| EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR CAPUTO-HADAMARD TYPE FRACTIONAL DIFFERENTIAL EQUATIONS |
|
SHI Lin-fei,LI Cheng-fu
|
| Abstract: |
| In this paper, we study a class of Caputo-Hadamard fractional differential equations with boundary value problems. By using Banach fixed point theorem and the method of upper and lower solutions method, the existence and uniqueness results of the solutions are obtained, which generalizes some results about ordinary differential equations with boundary value problems. As an application, two examples are given to illustrate our main results. |
| Key words: fractional differential equations Caputo-Hadamard derivatives Banach fixed point theorem upper and lower solutions method |
