Ulam stabilities of nonlinear coupled system of fractional differential equations including generalized Caputo fractional derivative

被引：1
|
作者：
Nabil, Tamer [1 ,2 ]
机构：
[1] King Khalid Univ, Dept Math, Coll Sci, Abha, Saudi Arabia
[2] Suez Canal Univ, Fac Comp & Informat, Dept Basic Sci, Ismailia, Egypt
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 05期
关键词：
fixed-point; psi-Caputo operator; coupled implicit system; Ulam stability; existence of solution; EXISTENCE; RESPECT;
D O I：
10.3934/math.2021301
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the existence and uniqueness of solution for a nonlinear coupled system of implicit fractional differential equations including psi-Caputo fractional operator under nonlocal conditions. Schaefer's and Banach fixed-point theorems are applied to obtain the solvability results for the proposed system. Furthermore, we extend the results to investigate several types of Ulam stability for the proposed system by using classical tool of nonlinear analysis. Finally, an example is provided to illustrate the abstract results.
引用
收藏
页码：5088 / 5105
页数：18
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