Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives
In this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three-point boundary conditions, including the antiperiodic hybrid boundary condition. On suggested problems, the third-order Caputo–Fabrizio derivative is the fractional...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/2274198 |
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| _version_ | 1832546233706610688 |
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| author | Mohammed S. Abdo Sahar Ahmed Idris M. Daher Albalwi Tomadir Ahmed Idris |
| author_facet | Mohammed S. Abdo Sahar Ahmed Idris M. Daher Albalwi Tomadir Ahmed Idris |
| author_sort | Mohammed S. Abdo |
| collection | DOAJ |
| description | In this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three-point boundary conditions, including the antiperiodic hybrid boundary condition. On suggested problems, the third-order Caputo–Fabrizio derivative is the fractional operator applied. In this regard, the corresponding hybrid fractional integral equation is obtained by the Caputo–Fabrizio operator’s properties with the Green function’s aid. Then, we apply Dhage’s nonlinear alternative to the Schaefer type to prove the existence results. Finally, two examples are provided to confirm the validity of our main results. |
| format | Article |
| id | doaj-art-e7a72b8e69994e7b8d024e8b0fdb998b |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e7a72b8e69994e7b8d024e8b0fdb998b2025-02-03T07:23:38ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/2274198Study of Hybrid Problems under Exponential Type Fractional-Order DerivativesMohammed S. Abdo0Sahar Ahmed Idris1M. Daher Albalwi2Tomadir Ahmed Idris3Department of MathematicsDepartment of Industrial EngineeringYanbu Industrial CollegeDepartment of MathematicsIn this investigation, we develop a theory for the hybrid boundary value problem for fractional differential equations subject to three-point boundary conditions, including the antiperiodic hybrid boundary condition. On suggested problems, the third-order Caputo–Fabrizio derivative is the fractional operator applied. In this regard, the corresponding hybrid fractional integral equation is obtained by the Caputo–Fabrizio operator’s properties with the Green function’s aid. Then, we apply Dhage’s nonlinear alternative to the Schaefer type to prove the existence results. Finally, two examples are provided to confirm the validity of our main results.http://dx.doi.org/10.1155/2024/2274198 |
| spellingShingle | Mohammed S. Abdo Sahar Ahmed Idris M. Daher Albalwi Tomadir Ahmed Idris Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives Journal of Mathematics |
| title | Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives |
| title_full | Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives |
| title_fullStr | Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives |
| title_full_unstemmed | Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives |
| title_short | Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives |
| title_sort | study of hybrid problems under exponential type fractional order derivatives |
| url | http://dx.doi.org/10.1155/2024/2274198 |
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