Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions

Advances in Difference Equations

article

Ali, Arshad¹  Mahariq, Ibrahim²  Shah, Kamal¹  Abdeljawad, Thabet³  Al-Sheikh, Bahaa² 

[1] Department of Mathematics, University of Malakand;College of Engineering and Technology, American University of the Middle East;Department of Mathematics and General Sciences, Prince Sultan University;Department of Medical Research, China Medical University;Department of Computer Science and Information Engineering, Asia University;Biomedical Systems and Medical Informatics Engineering, Yarmouk University

关键词: Pantograph differential equations;    Initial value problem;    Impulsive condition;    Hyers–Ulam stability;   

DOI  :  10.1186/s13662-021-03218-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we study an initial value problem for a class of impulsive implicit-type fractional differential equations (FDEs) with proportional delay terms. Schaefer’s fixed point theorem and Banach’s contraction principle are the key tools in obtaining the required results. We apply our results to a numerical problem for demonstration purpose.

【 授权许可】

CC BY