Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative
The aim of this article is to investigate a coupled hybrid system of fractional differential equations with the Atangana–Baleanu–Caputo derivative which contains a Mittag–Leffler kernel function in its kernel. We firstly apply the Dhage fixed point principle to obtain the existence of mild solutions...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4741224 |
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| _version_ | 1832567750124371968 |
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| author | Liyuan Zhao Yirong Jiang |
| author_facet | Liyuan Zhao Yirong Jiang |
| author_sort | Liyuan Zhao |
| collection | DOAJ |
| description | The aim of this article is to investigate a coupled hybrid system of fractional differential equations with the Atangana–Baleanu–Caputo derivative which contains a Mittag–Leffler kernel function in its kernel. We firstly apply the Dhage fixed point principle to obtain the existence of mild solutions. Then, we study the Ulam–Hyers stability of the introduced fractional coupled hybrid system. Finally, an example is presented to exhibit the validity of our results. |
| format | Article |
| id | doaj-art-b25fb177dddd40a181de7b34cbed3f48 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b25fb177dddd40a181de7b34cbed3f482025-02-03T01:00:42ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4741224Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo DerivativeLiyuan Zhao0Yirong Jiang1Wujiajing Nine-Year SchoolCollege of ScienceThe aim of this article is to investigate a coupled hybrid system of fractional differential equations with the Atangana–Baleanu–Caputo derivative which contains a Mittag–Leffler kernel function in its kernel. We firstly apply the Dhage fixed point principle to obtain the existence of mild solutions. Then, we study the Ulam–Hyers stability of the introduced fractional coupled hybrid system. Finally, an example is presented to exhibit the validity of our results.http://dx.doi.org/10.1155/2022/4741224 |
| spellingShingle | Liyuan Zhao Yirong Jiang Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative Journal of Mathematics |
| title | Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative |
| title_full | Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative |
| title_fullStr | Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative |
| title_full_unstemmed | Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative |
| title_short | Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative |
| title_sort | existence and stability for a coupled hybrid system of fractional differential equations with atangana baleanu caputo derivative |
| url | http://dx.doi.org/10.1155/2022/4741224 |
| work_keys_str_mv | AT liyuanzhao existenceandstabilityforacoupledhybridsystemoffractionaldifferentialequationswithatanganabaleanucaputoderivative AT yirongjiang existenceandstabilityforacoupledhybridsystemoffractionaldifferentialequationswithatanganabaleanucaputoderivative |