Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations

Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations

This article concerns with the existence and uniqueness for a new model of implicit coupled system of neutral fractional differential equations involving Caputo fractional derivatives with respect to the Chebyshev norm. In addition, we prove the Hyers–Ulam–Mittag-Leffler stability for the considered...

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Main Authors: Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Zeeshan Ali, Zhengqing Fu, Jiafa Xu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/2786041
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spelling doaj-e33a4ec7f7f04b26b417941bba4aa88c2020-11-25T03:31:55ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/27860412786041Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential EquationsManzoor Ahmad0Jiqiang Jiang1Akbar Zada2Zeeshan Ali3Zhengqing Fu4Jiafa Xu5Department of Mathematics, University of Peshawar, Peshawar 25000, PakistanSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanCollege of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaThis article concerns with the existence and uniqueness for a new model of implicit coupled system of neutral fractional differential equations involving Caputo fractional derivatives with respect to the Chebyshev norm. In addition, we prove the Hyers–Ulam–Mittag-Leffler stability for the considered system through the Picard operator. For application of the theory, we add an example at the end. The obtained results can be extended for the Bielecki norm.http://dx.doi.org/10.1155/2020/2786041
collection DOAJ
language English
format Article
sources DOAJ
author Manzoor Ahmad
Jiqiang Jiang
Akbar Zada
Zeeshan Ali
Zhengqing Fu
Jiafa Xu
spellingShingle Manzoor Ahmad
Jiqiang Jiang
Akbar Zada
Zeeshan Ali
Zhengqing Fu
Jiafa Xu
Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations
Discrete Dynamics in Nature and Society
author_facet Manzoor Ahmad
Jiqiang Jiang
Akbar Zada
Zeeshan Ali
Zhengqing Fu
Jiafa Xu
author_sort Manzoor Ahmad
title Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations
title_short Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations
title_full Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations
title_fullStr Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations
title_full_unstemmed Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations
title_sort hyers–ulam–mittag-leffler stability for a system of fractional neutral differential equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2020-01-01
description This article concerns with the existence and uniqueness for a new model of implicit coupled system of neutral fractional differential equations involving Caputo fractional derivatives with respect to the Chebyshev norm. In addition, we prove the Hyers–Ulam–Mittag-Leffler stability for the considered system through the Picard operator. For application of the theory, we add an example at the end. The obtained results can be extended for the Bielecki norm.
url http://dx.doi.org/10.1155/2020/2786041
work_keys_str_mv AT manzoorahmad hyersulammittaglefflerstabilityforasystemoffractionalneutraldifferentialequations
AT jiqiangjiang hyersulammittaglefflerstabilityforasystemoffractionalneutraldifferentialequations
AT akbarzada hyersulammittaglefflerstabilityforasystemoffractionalneutraldifferentialequations
AT zeeshanali hyersulammittaglefflerstabilityforasystemoffractionalneutraldifferentialequations
AT zhengqingfu hyersulammittaglefflerstabilityforasystemoffractionalneutraldifferentialequations
AT jiafaxu hyersulammittaglefflerstabilityforasystemoffractionalneutraldifferentialequations
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