Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions

被引：21

作者：

Alrabaiah, Hussam ^{[1
,2
]}

Ahmad, Israr ^{[3
]}

Shah, Kamal ^{[3
]}

Rahman, Ghaus Ur ^{[4
]}

机构：

[1] Tafila Tech Univ, Dept Math, Tafila, Jordan

[2] Al Ain Univ, Coll Engn, Al Ain, U Arab Emirates

[3] Univ Malakand, Dept Math, Chakdara Dir Lower, Khyber Pakhtunk, Pakistan

[4] Univ Swat, Dept Math & Stat, Swat, Khyber Pakhtunk, Pakistan

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

关键词：

FDDEs; Qualitative study; UH stability theory; Contractions mapping; Coupled system; ULAM STABILITY;

D O I：

10.1186/s13661-020-01432-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research article, we develop a qualitative analysis to a class of nonlinear coupled system of fractional delay differential equations (FDDEs). Under the integral boundary conditions, existence and uniqueness for the solution of this system are carried out. With the help of Leray-Schauder and Banach fixed point theorem, we establish indispensable results. Also, some results affiliated to Ulam-Hyers (UH) stability for the system under investigation are presented. To validate the results, illustrative examples are given at the end of the manuscript.

引用

页数：13

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