Study of implicit delay fractional differential equations under anti-periodic boundary conditions

被引：26

作者：

Ali, Arshad ^{[1
]}

Shah, Kamal ^{[1
]}

Abdeljawad, Thabet ^{[2
,3
,4
]}

机构：

[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

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

关键词：

Pantograph differential equation; Existence theory; Hyers-Ulam stability; NUMERICAL-SOLUTION; POSITIVE SOLUTIONS; STABILITY;

D O I：

10.1186/s13662-020-02597-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions. With the help of classical fixed point theory due to Schauder and Banach, we derive some results about the existence of at least one solution. Further, we also study some results including Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam Rassias, and generalized Hyers-Ulam-Rassias stability. We provide some test problems for illustrating our analysis.

引用

页数：16

共 35 条

[1] On Dynamic Systems in the Frame of Singular Function Dependent Kernel Fractional Derivatives [J].