Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals
In this article, the primary focus of our study is to investigate the existence, uniqueness, and Ulam-Hyers stability results for coupled fractional differential equations of the Caputo-Hadamard type that are supplemented with Hadamard integral boundary conditions. We employ adequate conditions to a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9471590 |
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| _version_ | 1832555162435059712 |
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| author | Muath Awadalla Muthaian Subramanian Murugesan Manigandan Kinda Abuasbeh |
| author_facet | Muath Awadalla Muthaian Subramanian Murugesan Manigandan Kinda Abuasbeh |
| author_sort | Muath Awadalla |
| collection | DOAJ |
| description | In this article, the primary focus of our study is to investigate the existence, uniqueness, and Ulam-Hyers stability results for coupled fractional differential equations of the Caputo-Hadamard type that are supplemented with Hadamard integral boundary conditions. We employ adequate conditions to achieve existence and uniqueness results for the presented problems by utilizing the Banach contraction principle and the Leray-Schauder fixed point theorem. We also show Ulam-Hyers stability using the standard functional analysis technique. Finally, examples are used to validate the results. |
| format | Article |
| id | doaj-art-04f136472f0e4366a9bc718b0d24f902 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-04f136472f0e4366a9bc718b0d24f9022025-02-03T05:49:21ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9471590Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard IntegralsMuath Awadalla0Muthaian Subramanian1Murugesan Manigandan2Kinda Abuasbeh3Department of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsIn this article, the primary focus of our study is to investigate the existence, uniqueness, and Ulam-Hyers stability results for coupled fractional differential equations of the Caputo-Hadamard type that are supplemented with Hadamard integral boundary conditions. We employ adequate conditions to achieve existence and uniqueness results for the presented problems by utilizing the Banach contraction principle and the Leray-Schauder fixed point theorem. We also show Ulam-Hyers stability using the standard functional analysis technique. Finally, examples are used to validate the results.http://dx.doi.org/10.1155/2022/9471590 |
| spellingShingle | Muath Awadalla Muthaian Subramanian Murugesan Manigandan Kinda Abuasbeh Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals Journal of Function Spaces |
| title | Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals |
| title_full | Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals |
| title_fullStr | Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals |
| title_full_unstemmed | Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals |
| title_short | Existence and H-U Stability of Solution for Coupled System of Fractional-Order with Integral Conditions Involving Caputo-Hadamard Derivatives, Hadamard Integrals |
| title_sort | existence and h u stability of solution for coupled system of fractional order with integral conditions involving caputo hadamard derivatives hadamard integrals |
| url | http://dx.doi.org/10.1155/2022/9471590 |
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