摘要
用不动点指数理论,在与相应的线性算子第一特征值相关的条件下,考虑一类分数阶微分方程积分边值问题,得到了该积分边值问题至少存在一个正解的结果,并给出一个实例说明定理的适用性.
By using the theory of fixed-point index,we considered a class of integral boundary value problems o f fractional differential equations under the conditions related to the first eigenvalue of the corresponding linear operator.We obtained the result that there was at least one positive solution for the integral boundary value problem,and gave an example to illustrate the applicability of the theorem.
作者
尚淑彦
韩晓玲
SHANG Shuyan;HAN Xiaoling(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2021年第3期444-450,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11561063)。
关键词
分数阶微分方程
积分边值问题
不动点指数
正解
存在性
fractional differential equation
integral boundary value problem
fixed-point index
positive solution
existence
