Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann-Stieltjes integral boundary value problems

被引：5

作者：

Zhou, Bibo ^{[1
,2
]}

Zhang, Lingling ^{[1
,3
]}

Zhang, Nan ^{[1
]}

Addai, Emmanuel ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan, Peoples R China

[2] Lvliang Univ, Dept Math, Lvliang, Peoples R China

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Existence-uniqueness; Tempered fractional differential equations; Mixed monotone operator; phi l:mo stretchy="false">(mml:mohmml:mo; mml:mo sigma mml:mo stretchy="false">)mml:mo-concave operators; Riemann-Stieltjes integral boundary value conditions;

D O I：

10.1186/s13662-020-02665-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The primary objective of this research paper is to investigate two kinds of high-order tempered fractional differential equations integral boundary value problems. By means of the mixed monotone operators fixed point theorems with perturbation and the increasing phi-(h,sigma)-concave operators fixed point theorems, we can not only guarantee the existence-uniqueness of solution, but also construct successively sequences for approximating the unique solution. In addition, we demonstrate the effectiveness of the main result by using two examples.

引用

页数：19

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