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

Advances in Difference Equations

Thabet Abdeljawad¹  Arshad Ali²  Kamal Shah² 

[1] Department of Mathematics and General Sciences, Prince Sultan University;Department of Mathematics, University of Malakand;

关键词: Pantograph differential equation;    Existence theory;    Hyers–Ulam stability;   

DOI  :  10.1186/s13662-020-02597-x

来源: DOAJ

【 摘 要 】

Abstract 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.

【 授权许可】

Unknown