An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders
In this paper, we introduce a new coupled system of differential inclusions involving with Hadamard fractional orders. By applying a fixed point theorem for three operators containing $ x\in{AxBx+Cx} $ in Banach algebras, we get an existence result for the discussed system via multi-valued maps in a...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024301 |
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| _version_ | 1832590748107669504 |
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| author | Lili Zhang Chengbo Zhai |
| author_facet | Lili Zhang Chengbo Zhai |
| author_sort | Lili Zhang |
| collection | DOAJ |
| description | In this paper, we introduce a new coupled system of differential inclusions involving with Hadamard fractional orders. By applying a fixed point theorem for three operators containing $ x\in{AxBx+Cx} $ in Banach algebras, we get an existence result for the discussed system via multi-valued maps in a Banach space. An example is provided to support the validation of the theoretical result achieved. |
| format | Article |
| id | doaj-art-66acfd7d1a6e498d874b69e93b954aef |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-66acfd7d1a6e498d874b69e93b954aef2025-01-23T07:53:01ZengAIMS PressElectronic Research Archive2688-15942024-11-0132116450646610.3934/era.2024301An existence result for a new coupled system of differential inclusions involving with Hadamard fractional ordersLili Zhang0Chengbo Zhai1School of Mathematics and Statistics, Shanxi University, Taiyuan 030006, ChinaSchool of Mathematics and Statistics, Shanxi University, Taiyuan 030006, ChinaIn this paper, we introduce a new coupled system of differential inclusions involving with Hadamard fractional orders. By applying a fixed point theorem for three operators containing $ x\in{AxBx+Cx} $ in Banach algebras, we get an existence result for the discussed system via multi-valued maps in a Banach space. An example is provided to support the validation of the theoretical result achieved.https://www.aimspress.com/article/doi/10.3934/era.2024301coupled systemdifferential inclusionhadamard fractional ordermulti-valued mapsfixed-point theorem |
| spellingShingle | Lili Zhang Chengbo Zhai An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders Electronic Research Archive coupled system differential inclusion hadamard fractional order multi-valued maps fixed-point theorem |
| title | An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders |
| title_full | An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders |
| title_fullStr | An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders |
| title_full_unstemmed | An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders |
| title_short | An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders |
| title_sort | existence result for a new coupled system of differential inclusions involving with hadamard fractional orders |
| topic | coupled system differential inclusion hadamard fractional order multi-valued maps fixed-point theorem |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024301 |
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