On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions
All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. In this study, the existence and...
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241667 |
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| author | Nichaphat Patanarapeelert Jiraporn Reunsumrit Thanin Sitthiwirattham |
| author_facet | Nichaphat Patanarapeelert Jiraporn Reunsumrit Thanin Sitthiwirattham |
| author_sort | Nichaphat Patanarapeelert |
| collection | DOAJ |
| description | All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. In this study, the existence and uniqueness of solutions for a Riemann-Liouville fractional Hahn integrodifference equation with nonlocal fractional Hahn integral boundary conditions are investigated. To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied. |
| format | Article |
| id | doaj-art-dc4f183c482d431cb002bd81ddde521f |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-dc4f183c482d431cb002bd81ddde521f2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912350163503710.3934/math.20241667On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditionsNichaphat Patanarapeelert0Jiraporn Reunsumrit1Thanin Sitthiwirattham2Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, ThailandResearch Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut's University of Technology North Bangkok, Bangkok 10800, ThailandAll authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. In this study, the existence and uniqueness of solutions for a Riemann-Liouville fractional Hahn integrodifference equation with nonlocal fractional Hahn integral boundary conditions are investigated. To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied.https://www.aimspress.com/article/doi/10.3934/math.20241667fractional hahn integralriemann-liouville fractional hahn differenceboundary value problemsexistencehyers-ulam stability |
| spellingShingle | Nichaphat Patanarapeelert Jiraporn Reunsumrit Thanin Sitthiwirattham On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions AIMS Mathematics fractional hahn integral riemann-liouville fractional hahn difference boundary value problems existence hyers-ulam stability |
| title | On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions |
| title_full | On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions |
| title_fullStr | On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions |
| title_full_unstemmed | On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions |
| title_short | On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions |
| title_sort | on nonlinear fractional hahn integrodifference equations via nonlocal fractional hahn integral boundary conditions |
| topic | fractional hahn integral riemann-liouville fractional hahn difference boundary value problems existence hyers-ulam stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241667 |
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