On nonlinear coupled evolution system with nonlocal subsidiary conditions under fractal-fractional order derivative

被引：13
作者：
Abdo, Mohammed S. [1 ]
Abdeljawad, Thabet [2 ,3 ,4 ]
Shah, Kamal [5 ]
Ali, Saeed M. [6 ]
机构：
[1] Hodeidah Univ, Dept Math, Al Hodeidah, Yemen
[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] Univ Malakand, Dept Math, Chakdara, Pakistan
[6] Imam Abdulrahman Bin Faisal Univ, Coll Engn, Dept Basic Engn Sci, Dammam 34151, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 08期
关键词：
Atangana‐ Baleanu derivative; evolution system; fractal‐ fractional derivative; fixed point theorem; Ulam‐ Hyers stability; DIFFERENTIAL-EQUATIONS; STABILITY; EXISTENCE; ATTRACTORS;
D O I：
10.1002/mma.7210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the given paper, we develop and extend a qualitative analysis of a novel nonlinear system of fractional pantograph evolution differential equations (FPEDEs) involving fractal-fractional derivative in Atangana-Baleanu sense. To discuss the proposed problem, we establish the essential conditions for the existence and uniqueness results. The used arguments for the analysis are the fixed point techniques of Banach and Krasnoselskii. Moreover, the Ulam-Hyers stability of solutions for the system at hand is discussed. Two interesting pertinent examples are presented.
引用
收藏
页码：6581 / 6600
页数：20
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