Fixed point results based on set Ph,e and application in nonlinear fractional differential equation

被引：0

作者：

Xing, Gaofeng ^{[1
]}

Zhang, Lingling ^{[1
,2
]}

Zhao, Xin ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

[2] Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China

来源：

PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年

关键词：

Fixed point theorem; Mixed monotone operators; Existence and uniqueness; Fractional differential equations; MIXED MONOTONE-OPERATORS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS; THEOREMS;

D O I：

10.1109/CCDC52312.2021.9601401

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a fixed point theorem of mixed monotone operator based on the set P-h,P-e is obtained by using monotone iterative methods and cone theory on Banach Space. In particular, the operator dose not need to satisfy the conditions of continuity and compactness or existence of upper and lower solutions. As an application, we employ the result obtained to study existence and uniqueness of solutions for a class of nonlinear fractional differential equation.

引用

页码：1198 / 1203

页数：6

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