一类具有Hadamard导数的分数阶微分方程积分边值问题正解的存在唯一性
Existence and uniqueness of positive solutions of integral boundary value prob-lems for a class of fractional differential equations with Hadamard derivatives
胡芳芳 1胡卫敏 1张永1
作者信息
- 1. 伊犁师范大学数学与统计学院,新疆伊宁 835000;伊犁师范大学应用数学研究所,新疆伊宁 835000
- 折叠
摘要
研究一类具有积分边值条件的Hadamard分数阶微分方程边值问题,利用Schauder不动点定理和上下解方法得到正解的存在性,通过Banach压缩映射原理得到唯一性结果,并给出实例说明结果的有效性.
Abstract
A class of boundary value problems for Hadamard fractional differential equations with integral boundary value conditions is studied.The existence of positive solutions is obtained by Schauder fixed point theorem and the upper and lower solution method.The uniqueness result is obtained by Banach compression mapping principle,and an example is given to illustrate the effectiveness of the results.
关键词
Hadamard分数阶导数/分数阶微分方程/不动点定理/存在唯一性Key words
Hadamard fractional derivative/fractional differential equation/fixed point theorem/existence and uniqueness引用本文复制引用
基金项目
伊犁师范大学校级资助项目(2023YSYB010)
伊犁州科技计划(YZ2022Y013)
伊犁师范大学科研创新团队项目(CXZK2021016)
出版年
2024
NETL
NSTL
万方数据