Study of fractional order pantograph type impulsive antiperiodic boundary value problem

被引：13

作者：

Ali, Arshad ^{[1
]}

Shah, Kamal ^{[1
]}

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

Khan, Hasib ^{[5
]}

Khan, Aziz ^{[2
]}

机构：

[1] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan

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

[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

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

[5] Shaheed BB Univ, Dept Math, Dir Uppr, Khyber Pakhtunk, Pakistan

来源：

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

关键词：

Delay differential equation; Impulsive conditions; Schaefer's fixed point theorem; Hyers-Ulam stability; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS; NEURAL-NETWORKS; EXISTENCE;

D O I：

10.1186/s13662-020-03032-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study existence and stability results of an anti-periodic boundary value problem of nonlinear delay (pantograph) type implicit fractional differential equations with impulsive conditions. Using Schaefer's fixed point theorem and Banach's fixed point theorem, we have established results of at least one solution and uniqueness. Also, using the Hyers-Ulam concept, we have derived various kinds of Ulam stability results for the considered problem. Finally, we have applied our obtained results to a numerical problem.

引用

页数：32

共 39 条

[1] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions [J].