Ulam-Hyers-Mittag-Leffler stability for tripled system of weighted fractional operator with TIME delay

被引：8

作者：

Almalahi, Mohammed A. ^{[1
,2
]}

Panchal, Satish K. ^{[1
]}

Jarad, Fahd ^{[3
,4
]}

Abdeljawad, Thabet ^{[4
,5
,6
]}

机构：

[1] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad 431001, MS, India

[2] Hajjah Univ, Dept Math, Hajjah, Yemen

[3] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

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

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

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Fractional differential equation; Weighted Caputo operator; Fixed point theorem; DIFFERENTIAL-EQUATIONS; COUPLED SYSTEM;

D O I：

10.1186/s13662-021-03455-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study is aimed to investigate the sufficient conditions of the existence of unique solutions and the Ulam-Hyers-Mittag-Leffler (UHML) stability for a tripled system of weighted generalized Caputo fractional derivatives investigated by Jarad et al. (Fractals 28:2040011 2020) in the frame of Chebyshev and Bielecki norms with time delay. The acquired results are obtained by using Banach fixed point theorems and the Picard operator (PO) method. Finally, a pertinent example of the results obtained is demonstrated.

引用

页数：18

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