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.
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页数：19
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