山西大学学报（自然科学版）2024，Vol.47Issue(4)：691-698,8.DOI:10.13451/j.sxu.ns.2023145
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
摘要
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分类
数理科学引用本文复制引用
张楠,张玲玲,刘宏伟,王慧..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[J].山西大学学报（自然科学版）,2024,47(4):691-698,8.基金项目
山西省回国留学人员科研资助项目(2021-030) （2021-030）
山西省青年科学研究项目(202103021223060) （202103021223060）
