数学杂志2019，Vol.39Issue(4)：493-503,11.
Caputo-Hadamard型分数阶微分方程边值问题解的存在唯一性
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR CAPUTO-HADAMARD TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
摘要
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.关键词
分数阶微分方程/Caputo-Hadamard导数/Banach不动点定理/上下解Key words
fractional differential equations/Caputo-Hadamard derivatives/Banach fixed point theorem/upper and lower solutions method分类
数理科学引用本文复制引用
师琳斐,李成福..Caputo-Hadamard型分数阶微分方程边值问题解的存在唯一性[J].数学杂志,2019,39(4):493-503,11.基金项目
Supported by National Natural Science Foundation of China (11671339). （11671339）
