Solutions comparative for a novel model of fractional delta difference type
We propose a novel delta fractional model with general boundary conditions to make a comparison of the functions and their fractional operators. This allows us to construct the Green’s functions (GFs), which we interpret as the delta fractional differences in the Riemann-Liouville setting. Next, pos...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-12-01
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| Series: | Mathematical and Computer Modelling of Dynamical Systems |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/13873954.2025.2482560 |
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| author | Pshtiwan Othman Mohammed Hari Mohan Srivastava Nejmeddine Chorfi Majeed A. Yousif Dumitru Baleanu Shrooq Mohammed Azzo |
| author_facet | Pshtiwan Othman Mohammed Hari Mohan Srivastava Nejmeddine Chorfi Majeed A. Yousif Dumitru Baleanu Shrooq Mohammed Azzo |
| author_sort | Pshtiwan Othman Mohammed |
| collection | DOAJ |
| description | We propose a novel delta fractional model with general boundary conditions to make a comparison of the functions and their fractional operators. This allows us to construct the Green’s functions (GFs), which we interpret as the delta fractional differences in the Riemann-Liouville setting. Next, positivity results for the GF together with the delta function have been derived. The appearance of two distinct functions having the same linear operator will be investigated. This further motivates to get the comparison of the functions, corresponding to the same GF. Two particular examples are provided to validate the theoretical findings. |
| format | Article |
| id | doaj-art-04d7b692b8ac4791a3ccf00dd9dfd273 |
| institution | OA Journals |
| issn | 1387-3954 1744-5051 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Mathematical and Computer Modelling of Dynamical Systems |
| spelling | doaj-art-04d7b692b8ac4791a3ccf00dd9dfd2732025-08-20T02:12:03ZengTaylor & Francis GroupMathematical and Computer Modelling of Dynamical Systems1387-39541744-50512025-12-0131110.1080/13873954.2025.2482560Solutions comparative for a novel model of fractional delta difference typePshtiwan Othman Mohammed0Hari Mohan Srivastava1Nejmeddine Chorfi2Majeed A. Yousif3Dumitru Baleanu4Shrooq Mohammed Azzo5Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah, IraqDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC, CanadaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Education, University of Zakho, Zakho, IraqDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonDepartment of Artificial Intelligence, College of Computer Science and Mathematics, University of Mosul, Mosul, IraqWe propose a novel delta fractional model with general boundary conditions to make a comparison of the functions and their fractional operators. This allows us to construct the Green’s functions (GFs), which we interpret as the delta fractional differences in the Riemann-Liouville setting. Next, positivity results for the GF together with the delta function have been derived. The appearance of two distinct functions having the same linear operator will be investigated. This further motivates to get the comparison of the functions, corresponding to the same GF. Two particular examples are provided to validate the theoretical findings.https://www.tandfonline.com/doi/10.1080/13873954.2025.2482560Riemann-Liouville fractional differencefixed point theoremexistence and uniqueness solution |
| spellingShingle | Pshtiwan Othman Mohammed Hari Mohan Srivastava Nejmeddine Chorfi Majeed A. Yousif Dumitru Baleanu Shrooq Mohammed Azzo Solutions comparative for a novel model of fractional delta difference type Mathematical and Computer Modelling of Dynamical Systems Riemann-Liouville fractional difference fixed point theorem existence and uniqueness solution |
| title | Solutions comparative for a novel model of fractional delta difference type |
| title_full | Solutions comparative for a novel model of fractional delta difference type |
| title_fullStr | Solutions comparative for a novel model of fractional delta difference type |
| title_full_unstemmed | Solutions comparative for a novel model of fractional delta difference type |
| title_short | Solutions comparative for a novel model of fractional delta difference type |
| title_sort | solutions comparative for a novel model of fractional delta difference type |
| topic | Riemann-Liouville fractional difference fixed point theorem existence and uniqueness solution |
| url | https://www.tandfonline.com/doi/10.1080/13873954.2025.2482560 |
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