The method of upper and lower solutions for a class of fractional differential coupled systems
Abstract In this paper, we investigate a class of nonlocal boundary value problems of nonlinear fractional functional differential coupled systems with state dependent delays. The method of upper and lower solutions is established and some new results for the multiplicity of solutions of the boundar...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-05-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03419-4 |
| _version_ | 1818832566872965120 |
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| author | Huan Quan Xiping Liu Mei Jia |
| author_facet | Huan Quan Xiping Liu Mei Jia |
| author_sort | Huan Quan |
| collection | DOAJ |
| description | Abstract In this paper, we investigate a class of nonlocal boundary value problems of nonlinear fractional functional differential coupled systems with state dependent delays. The method of upper and lower solutions is established and some new results for the multiplicity of solutions of the boundary value problem are obtained. An example is also presented to illustrate our main results. |
| first_indexed | 2024-12-19T02:05:04Z |
| format | Article |
| id | doaj.art-dbf083ba927f453f90799c190997b936 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-19T02:05:04Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-dbf083ba927f453f90799c190997b9362022-12-21T20:40:57ZengSpringerOpenAdvances in Difference Equations1687-18472021-05-012021111810.1186/s13662-021-03419-4The method of upper and lower solutions for a class of fractional differential coupled systemsHuan Quan0Xiping Liu1Mei Jia2College of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyAbstract In this paper, we investigate a class of nonlocal boundary value problems of nonlinear fractional functional differential coupled systems with state dependent delays. The method of upper and lower solutions is established and some new results for the multiplicity of solutions of the boundary value problem are obtained. An example is also presented to illustrate our main results.https://doi.org/10.1186/s13662-021-03419-4Differential functional differential coupled systemsState dependent delaysBoundary value problemsRiemann–Liouville fractional derivativesMethod of upper and lower solutions |
| spellingShingle | Huan Quan Xiping Liu Mei Jia The method of upper and lower solutions for a class of fractional differential coupled systems Advances in Difference Equations Differential functional differential coupled systems State dependent delays Boundary value problems Riemann–Liouville fractional derivatives Method of upper and lower solutions |
| title | The method of upper and lower solutions for a class of fractional differential coupled systems |
| title_full | The method of upper and lower solutions for a class of fractional differential coupled systems |
| title_fullStr | The method of upper and lower solutions for a class of fractional differential coupled systems |
| title_full_unstemmed | The method of upper and lower solutions for a class of fractional differential coupled systems |
| title_short | The method of upper and lower solutions for a class of fractional differential coupled systems |
| title_sort | method of upper and lower solutions for a class of fractional differential coupled systems |
| topic | Differential functional differential coupled systems State dependent delays Boundary value problems Riemann–Liouville fractional derivatives Method of upper and lower solutions |
| url | https://doi.org/10.1186/s13662-021-03419-4 |
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