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OA北大核心CSTPCD
Research on Fractional Multipoint Boundary Value Problems Based on the Fixed Point Theorem of Composition Nonlinear Operators
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.
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.
张楠;张玲玲;刘宏伟;王慧
太原理工大学 数学学院,山西 太原 030024
数学
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
fixed pointcone and partial ordermixed monotone operatorboundary value problem for fractional differential equa-tionexistence and uniqueness of solution
《山西大学学报（自然科学版）》 2024 (004)
691-698 / 8
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)
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