Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative
Abstract Applying the monotone iterative technique and the method of upper and lower solutions, we investigate the existence of extremal solutions for a nonlinear system of p-Laplacian differential equations with nonlocal coupled integral boundary conditions. We present a numerical example to illust...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-02-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-020-03203-w |
| _version_ | 1819178370197356544 |
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| author | Bo Bi Ying He |
| author_facet | Bo Bi Ying He |
| author_sort | Bo Bi |
| collection | DOAJ |
| description | Abstract Applying the monotone iterative technique and the method of upper and lower solutions, we investigate the existence of extremal solutions for a nonlinear system of p-Laplacian differential equations with nonlocal coupled integral boundary conditions. We present a numerical example to illustrate the main result. |
| first_indexed | 2024-12-22T21:41:28Z |
| format | Article |
| id | doaj.art-f897a1c9cd364bdc9cf3ca633603323d |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T21:41:28Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-f897a1c9cd364bdc9cf3ca633603323d2022-12-21T18:11:37ZengSpringerOpenAdvances in Difference Equations1687-18472021-02-012021111610.1186/s13662-020-03203-wMonotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivativeBo Bi0Ying He1School of Public Health, Hainan Medical CollegeSchool of Mathematics and Statistics, Northeast Petroleum UniversityAbstract Applying the monotone iterative technique and the method of upper and lower solutions, we investigate the existence of extremal solutions for a nonlinear system of p-Laplacian differential equations with nonlocal coupled integral boundary conditions. We present a numerical example to illustrate the main result.https://doi.org/10.1186/s13662-020-03203-wFractional differential systemNonlocal coupled integral boundary conditionsExtremal solutionp-Laplacian operatorMonotone iterative technique |
| spellingShingle | Bo Bi Ying He Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative Advances in Difference Equations Fractional differential system Nonlocal coupled integral boundary conditions Extremal solution p-Laplacian operator Monotone iterative technique |
| title | Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative |
| title_full | Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative |
| title_fullStr | Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative |
| title_full_unstemmed | Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative |
| title_short | Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative |
| title_sort | monotone iterative solutions for a coupled system of p laplacian differential equations involving the riemann liouville fractional derivative |
| topic | Fractional differential system Nonlocal coupled integral boundary conditions Extremal solution p-Laplacian operator Monotone iterative technique |
| url | https://doi.org/10.1186/s13662-020-03203-w |
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