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

Advances in Difference Equations

article

Zhou, Bibo¹  Zhang, Lingling¹  Zhang, Nan¹  Addai, Emmanuel¹ 

[1] College of Mathematics, Taiyuan University of Technology;Department of Mathematics, Lvliang University;State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology

关键词: Existence-uniqueness;    Tempered fractional differential equations;    Mixed monotone operator;    \(\varphi -(h;    \sigma )\) -concave operators;    Riemann–Stieltjes integral boundary value conditions;   

DOI  :  10.1186/s13662-020-02665-2

学科分类：航空航天科学

来源: SpringerOpen

【 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 $\varphi -(h,\sigma )$-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.

【 授权许可】

CC BY