基于复合非线性算子不动点定理的分数阶多点边值问题研究
Research on Fractional Multipoint Boundary Value Problems Based on the Fixed Point Theorem of Composition Nonlinear Operators
张楠 1张玲玲 1刘宏伟 1王慧1
作者信息
- 1. 太原理工大学 数学学院,山西 太原 030024
- 折叠
摘要
本文研究了一类分数阶多点边值问题解的存在唯一性.首先考虑了一类复合型非线性算子,根据算子不同的性质,给出相应的算子不动点定理,由此获得了该方程存在唯一解的若干充分条件.作为应用,通过具体例子做了进一步的阐述.
Abstract
This article investigates the existence and uniqueness of solutions to a class of fractional multipoint boundary value prob-lems.Firstly,we consider a class of composition nonlinear operator and provide corresponding fixed point theorems based on differ-ent properties of the operators.Then,several sufficient conditions for existence and uniqueness of solutions to the equation are ob-tained.As an application,an example is presented to illustrate the main results.
关键词
不动点/锥与半序/混合单调算子/分数阶微分方程边值问题/解的存在唯一性Key words
fixed point/cone and partial order/mixed monotone operator/boundary value problem for fractional differential equa-tion/existence and uniqueness of solution引用本文复制引用
基金项目
山西省回国留学人员科研资助项目(2021-030)
山西省青年科学研究项目(202103021223060)
出版年
2024
国家科技期刊平台
NSTL
万方数据