Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary Conditions
This paper is devoted to the existence of positive solutions for a nonlinear coupled Riemann-Liouville fractional q-difference system, with multistrip and multipoint mixed boundary conditions under Caputo fractional q-derivative. We obtain the existence of positive solutions and initial iterative so...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/5264831 |
| _version_ | 1827088849147265024 |
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| author | Yuan Meng Xinran Du Huihui Pang |
| author_facet | Yuan Meng Xinran Du Huihui Pang |
| author_sort | Yuan Meng |
| collection | DOAJ |
| description | This paper is devoted to the existence of positive solutions for a nonlinear coupled Riemann-Liouville fractional q-difference system, with multistrip and multipoint mixed boundary conditions under Caputo fractional q-derivative. We obtain the existence of positive solutions and initial iterative solutions by the monotone iteration technique. Then, we also calculate the error limits of the numerical approximation solution by induction. In the end, two examples are given to illustrate the above research results, and in the second example, some graphs of the iterative solutions are also drawn to give a more intuitive sense of the iterative process. |
| first_indexed | 2024-04-09T20:21:36Z |
| format | Article |
| id | doaj.art-039b24b2fd6643458d6542fa9e7f2c62 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2025-03-20T05:15:09Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-039b24b2fd6643458d6542fa9e7f2c622024-10-03T05:27:59ZengHindawi LimitedJournal of Function Spaces2314-88882023-01-01202310.1155/2023/5264831Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary ConditionsYuan Meng0Xinran Du1Huihui Pang2College of ScienceCollege of ScienceCollege of ScienceThis paper is devoted to the existence of positive solutions for a nonlinear coupled Riemann-Liouville fractional q-difference system, with multistrip and multipoint mixed boundary conditions under Caputo fractional q-derivative. We obtain the existence of positive solutions and initial iterative solutions by the monotone iteration technique. Then, we also calculate the error limits of the numerical approximation solution by induction. In the end, two examples are given to illustrate the above research results, and in the second example, some graphs of the iterative solutions are also drawn to give a more intuitive sense of the iterative process.http://dx.doi.org/10.1155/2023/5264831 |
| spellingShingle | Yuan Meng Xinran Du Huihui Pang Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary Conditions Journal of Function Spaces |
| title | Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary Conditions |
| title_full | Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary Conditions |
| title_fullStr | Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary Conditions |
| title_full_unstemmed | Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary Conditions |
| title_short | Iterative Positive Solutions to a Coupled Riemann-Liouville Fractional q-Difference System with the Caputo Fractional q-Derivative Boundary Conditions |
| title_sort | iterative positive solutions to a coupled riemann liouville fractional q difference system with the caputo fractional q derivative boundary conditions |
| url | http://dx.doi.org/10.1155/2023/5264831 |
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