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: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/2786041 |
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| _version_ | 1832560704018710528 |
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| author | Manzoor Ahmad Jiqiang Jiang Akbar Zada Zeeshan Ali Zhengqing Fu Jiafa Xu |
| author_facet | Manzoor Ahmad Jiqiang Jiang Akbar Zada Zeeshan Ali Zhengqing Fu Jiafa Xu |
| author_sort | Manzoor Ahmad |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e33a4ec7f7f04b26b417941bba4aa88c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e33a4ec7f7f04b26b417941bba4aa88c2025-02-03T01:27:03ZengWileyDiscrete 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 |
| 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 |
| title | 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_short | 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 |
| 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 |