Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition

Advances in Difference Equations

article

Ahmed, Idris¹  Kumam, Poom²  Abubakar, Jamilu¹  Borisut, Piyachat¹  Sitthithakerngkiet, Kanokwan⁶ 

[1] KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT);Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT);Department of Mathematics and Computer Science, Faculty of Natural and Applied Sciences, Sule Lamido University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Faculty of Sciences, Usmanu Danfodiyo University Sokoto;Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok (KMUTNB)

关键词: Pantograph differential equation;    Impulsive;    Anti-periodic condition;    Fixed point theorems;   

DOI  :  10.1186/s13662-020-02887-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This study investigates the solutions of an impulsive fractional differential equation incorporated with a pantograph. This work extends and improves some results of the impulsive fractional differential equation. A differential equation of an impulsive fractional pantograph with a more general anti-periodic boundary condition is proposed. By employing the well-known fixed point theorems of Banach and Krasnoselskii, the existence and uniqueness of the solution of the proposed problem are established. Furthermore, two examples are presented to support our theoretical analysis.

【 授权许可】

CC BY