Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive Examples
This article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo-type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed-poi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/jofs/6620500 |
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| _version_ | 1849225401248776192 |
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| author | Hasanen A. Hammad Saleh Fahad Aljurbua Asamh Saleh M. Al Luhayb |
| author_facet | Hasanen A. Hammad Saleh Fahad Aljurbua Asamh Saleh M. Al Luhayb |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | This article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo-type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed-point theory, specifically Banach’s fixed-point theorem and the Leray–Schauder theorem. The theoretical findings are supported by several concrete examples, demonstrating the practical applicability of the developed analytical techniques and advancing solution methodologies for fractional discrete boundary value problems. |
| format | Article |
| id | doaj-art-5e435e2f2b984c6799da0bb87cdba735 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5e435e2f2b984c6799da0bb87cdba7352025-08-25T00:00:03ZengWileyJournal of Function Spaces2314-88882025-01-01202510.1155/jofs/6620500Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive ExamplesHasanen A. Hammad0Saleh Fahad Aljurbua1Asamh Saleh M. Al Luhayb2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThis article analyzes a complex coupled system of multipoint nonlinear boundary value problems involving Caputo-type fractional discrete differential equations with multiple fractional q−integrals. We establish the uniqueness and existence of solutions using a rigorous approach grounded in fixed-point theory, specifically Banach’s fixed-point theorem and the Leray–Schauder theorem. The theoretical findings are supported by several concrete examples, demonstrating the practical applicability of the developed analytical techniques and advancing solution methodologies for fractional discrete boundary value problems.http://dx.doi.org/10.1155/jofs/6620500 |
| spellingShingle | Hasanen A. Hammad Saleh Fahad Aljurbua Asamh Saleh M. Al Luhayb Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive Examples Journal of Function Spaces |
| title | Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive Examples |
| title_full | Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive Examples |
| title_fullStr | Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive Examples |
| title_full_unstemmed | Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive Examples |
| title_short | Advanced Fixed Point Methods for Analyzing Coupled Caputo Q-Fractional Boundary Value Problems With Supportive Examples |
| title_sort | advanced fixed point methods for analyzing coupled caputo q fractional boundary value problems with supportive examples |
| url | http://dx.doi.org/10.1155/jofs/6620500 |
| work_keys_str_mv | AT hasanenahammad advancedfixedpointmethodsforanalyzingcoupledcaputoqfractionalboundaryvalueproblemswithsupportiveexamples AT salehfahadaljurbua advancedfixedpointmethodsforanalyzingcoupledcaputoqfractionalboundaryvalueproblemswithsupportiveexamples AT asamhsalehmalluhayb advancedfixedpointmethodsforanalyzingcoupledcaputoqfractionalboundaryvalueproblemswithsupportiveexamples |