Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense
We investigate the criteria for both the existence and uniqueness of solutions within a nonlinear coupled system of Hilfer-Hadamard sequential fractional differential equations featuring varying orders. This system is complemented by nonlocal coupled Hadamard fractional integral boundary conditions....
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://aimspress.com/article/doi/10.3934/math.2024486?viewType=HTML |
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| author | Muath Awadalla Manigandan Murugesan Subramanian Muthaiah Bundit Unyong Ria H Egami |
| author_facet | Muath Awadalla Manigandan Murugesan Subramanian Muthaiah Bundit Unyong Ria H Egami |
| author_sort | Muath Awadalla |
| collection | DOAJ |
| description | We investigate the criteria for both the existence and uniqueness of solutions within a nonlinear coupled system of Hilfer-Hadamard sequential fractional differential equations featuring varying orders. This system is complemented by nonlocal coupled Hadamard fractional integral boundary conditions. The desired outcomes are attained through the application of well-established fixed-point theorems. It is underscored that the fixed-point approach serves as an effective method for establishing both the existence and uniqueness of solutions to boundary value problems. The results obtained are further demonstrated and validated through illustrative examples. |
| first_indexed | 2024-04-24T21:40:25Z |
| format | Article |
| id | doaj.art-58d4c07d60d444ccb49fd2d4f7cd4cac |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T21:40:25Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-58d4c07d60d444ccb49fd2d4f7cd4cac2024-03-21T05:39:07ZengAIMS PressAIMS Mathematics2473-69882024-03-01949926995010.3934/math.2024486Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard senseMuath Awadalla0Manigandan Murugesan1Subramanian Muthaiah 2Bundit Unyong3Ria H Egami 41. Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Al Ahsa, Saudi Arabia2. Center for Computational Modeling, Chennai Institute of Technology, Chennai, 600069, Tamil Nadu, India3. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, 641407, Tamilnadu, India4. Department of Mathematics and Statistics, Center of Excellence for Ecoinformatics, School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand5. Department of Mathematics, College of Science and Humanities in Sulail, Prince Sattam Bin Abdulaziz University, Saudi ArabiaWe investigate the criteria for both the existence and uniqueness of solutions within a nonlinear coupled system of Hilfer-Hadamard sequential fractional differential equations featuring varying orders. This system is complemented by nonlocal coupled Hadamard fractional integral boundary conditions. The desired outcomes are attained through the application of well-established fixed-point theorems. It is underscored that the fixed-point approach serves as an effective method for establishing both the existence and uniqueness of solutions to boundary value problems. The results obtained are further demonstrated and validated through illustrative examples.https://aimspress.com/article/doi/10.3934/math.2024486?viewType=HTMLhilfer-hadamard derivativessequential derivativeshadamard integralsexistenceuniquenessfixed point |
| spellingShingle | Muath Awadalla Manigandan Murugesan Subramanian Muthaiah Bundit Unyong Ria H Egami Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense AIMS Mathematics hilfer-hadamard derivatives sequential derivatives hadamard integrals existence uniqueness fixed point |
| title | Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense |
| title_full | Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense |
| title_fullStr | Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense |
| title_full_unstemmed | Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense |
| title_short | Existence results for a system of sequential differential equations with varying fractional orders via Hilfer-Hadamard sense |
| title_sort | existence results for a system of sequential differential equations with varying fractional orders via hilfer hadamard sense |
| topic | hilfer-hadamard derivatives sequential derivatives hadamard integrals existence uniqueness fixed point |
| url | https://aimspress.com/article/doi/10.3934/math.2024486?viewType=HTML |
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