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,获得了问题解的存在唯一性的充分条件,并给出了两个例子.
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.
作者
张海燕
李耀红
ZHANG Hai-Yan;LI Yao-Hong(School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Chin)
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2018年第4期683-687,共5页
Journal of Sichuan University(Natural Science Edition)
基金
安徽省高等学校自然科学基金重点项目基金(KJ2017A442
KJ2017A702
KJ2018A0452)
安徽省高校优秀青年人才支持计划重点项目基金(gxyqZD2016339)
宿州学院优秀学术骨干项目基金(2016XJGG13)
关键词
Hadamard分数阶导数
分数阶微分方程
边值条件
存在唯一性
Hadamard fractional derivative
Fractional differential equation
Boundary value problem
Existence and uniqueness