应用数学2026，Vol.39Issue(2)：360-372,13.
无穷区间上带有扰动参数的非线性分数阶微分方程的非局部边值问题研究
Nonlocal Boundary Value Problems for Nonlinear Fractional Differential Equations with a Disturbance Parameter on the Infinite Interval
摘要
Abstract
This paper is concerned with a class of nonlinear fractional differential equations with a disturbance parameter in the integral boundary conditions on the infinite interval.By using Guo-Krasnoselskii fixed point theorem,fixed point index theory and the analytic technique,we give the bifurcation point of the parameter which divides the range of parameter for the existence of at least two,one and no positive solutions for the problem.And,by using a fixed point theorem of generalized concave operator and cone theory,we establish the maximum parameter interval for the existence of the unique positive solution for the problem and show that such a positive solution continuously depends on the parameter.In the end,some examples are given to illustrate our main results.关键词
边值问题/扰动参数/无穷区间/分岔点/锥Key words
Boundary value problem/Disturbance parameter/Infinite interval/Bifurca-tion point/Cone分类
数理科学引用本文复制引用
郑艳萍,杨慧,王文霞..无穷区间上带有扰动参数的非线性分数阶微分方程的非局部边值问题研究[J].应用数学,2026,39(2):360-372,13.基金项目
Supported by the National Natural Science Foundation of China(11361047),Fundamental Research Program of Shanxi Province(20210302124529) （11361047）
