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
收藏
页码：93 / 98
页数：6
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