Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions

被引：18

作者：

Zhai, Chengbo ^{[1
]}

Wang, Weixuan ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2020年 / 41卷 / 02期

关键词：

phi-(h; r)-concave operator; existence and uniqueness; Hadamard fractional derivative; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; COUPLED SYSTEM; EXISTENCE; UNIQUENESS; INCLUSIONS; OPERATOR;

D O I：

10.1080/01630563.2019.1620771

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to investigate the existence and uniqueness of solutions for a nonlinear Hadamard fractional differential system with integral conditions. We employ a recent fixed point theorem involving with increasing -concave operators and then obtain a unique result for our system dependent on two constants. Moreover, we construct convergent sequences to approximate the unique solution. In the end, an example is given to illustrate the theoretical results.

引用

页码：209 / 229

页数：21

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