摘要
研究一类含两项分数阶导数的零边值条件的微分方程,在非线项满足与线性算子的第一特征值有关的假设条件下,应用不动点指数理论和Guo-Krasnoselskii不动点定理得到边值问题正解的存在性.
A class of differential equations with zero boundary value conditions of two term fractional derivatives is studied.Under the assumption that the non-linear term is related to the first eigenvalue of linear operators,the existence of positive solutions of boundary value problems is obtained by using the fixed point index theory and Guo-Krasnoselskii fixed point theorem.
作者
罗茜
许勇强
LUO Xi;XU Yongqiang(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)
出处
《闽南师范大学学报（自然科学版）》
2022年第1期21-29,共9页
Journal of Minnan Normal University：Natural Science
基金
国家自然科学基金项目(11571159)
福建省自然科学基金(2017J01562)。
关键词
分数阶微分方程
边值问题
不动点定理
fractional differential
boundary value
fixed point theory
