Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters
Abstract We consider a class of Caputo fractional p-Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the boundary value problem. As an application, we pr...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-019-2273-6 |
| _version_ | 1818428603510030336 |
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| author | Luchao Zhang Weiguo Zhang Xiping Liu Mei Jia |
| author_facet | Luchao Zhang Weiguo Zhang Xiping Liu Mei Jia |
| author_sort | Luchao Zhang |
| collection | DOAJ |
| description | Abstract We consider a class of Caputo fractional p-Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the boundary value problem. As an application, we present an example to illustrate our main result. |
| first_indexed | 2024-12-14T15:04:15Z |
| format | Article |
| id | doaj.art-b1525765941543ca87138b792f1c59e2 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T15:04:15Z |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-b1525765941543ca87138b792f1c59e22022-12-21T22:56:45ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-01-012020111510.1186/s13660-019-2273-6Positive solutions of fractional p-Laplacian equations with integral boundary value and two parametersLuchao Zhang0Weiguo Zhang1Xiping Liu2Mei Jia3Business School, University of Shanghai for Science and TechnologyCollege 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 We consider a class of Caputo fractional p-Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the boundary value problem. As an application, we present an example to illustrate our main result.https://doi.org/10.1186/s13660-019-2273-6Caputo fractional derivativePositive solutionsp-Laplacian operatorIntegral boundary conditionsParameter |
| spellingShingle | Luchao Zhang Weiguo Zhang Xiping Liu Mei Jia Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters Journal of Inequalities and Applications Caputo fractional derivative Positive solutions p-Laplacian operator Integral boundary conditions Parameter |
| title | Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters |
| title_full | Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters |
| title_fullStr | Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters |
| title_full_unstemmed | Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters |
| title_short | Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters |
| title_sort | positive solutions of fractional p laplacian equations with integral boundary value and two parameters |
| topic | Caputo fractional derivative Positive solutions p-Laplacian operator Integral boundary conditions Parameter |
| url | https://doi.org/10.1186/s13660-019-2273-6 |
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