The existence and uniqueness of positive solution for nonlinear singular fractional differential equations with integro-differential boundary value conditions

被引：0

作者：

Wang, Wen ^{[1
]}

Zhang, Lingling ^{[1
]}

机构：

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

来源：

2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC) | 2021年

关键词：

Integro-differential Boundary Conditions; Fixed Point Theorem; Existence and Uniqueness; Sum-type Operator; MIXED MONOTONE-OPERATORS; FIXED-POINT THEOREMS;

D O I：

暂无

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, we consider a class of singular nonlinear higher-order fractional equation supplemented with integro-differential boundary conditions. The fractional derivative of different orders are involved in the nonlinear terms and boundary conditions. Transform the higher-order fractional differential equation into the lower-order fractional differential equation is the main difficulty. Existence and uniqueness are obtained by the sum-type fixed point theorems on cone.

引用

页码：93 / 98

页数：6

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