The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian
Abstract We present here a new method of lower and upper solutions for a general boundary value problem of fractional differential equations with p-Laplacian operators. By using this approach, some new results on the existence of positive solutions for the equations with multiple types of nonlinear...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1446-1 |
| _version_ | 1818478647034511360 |
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| author | Xiping Liu Mei Jia |
| author_facet | Xiping Liu Mei Jia |
| author_sort | Xiping Liu |
| collection | DOAJ |
| description | Abstract We present here a new method of lower and upper solutions for a general boundary value problem of fractional differential equations with p-Laplacian operators. By using this approach, some new results on the existence of positive solutions for the equations with multiple types of nonlinear integral boundary conditions are established. Finally, some examples are presented to illustrate the wide range of potential applications of our main results. |
| first_indexed | 2024-12-10T09:50:19Z |
| format | Article |
| id | doaj.art-62758c55446549e0b475528e90ea2547 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T09:50:19Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-62758c55446549e0b475528e90ea25472022-12-22T01:53:41ZengSpringerOpenAdvances in Difference Equations1687-18472018-01-012018111510.1186/s13662-017-1446-1The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-LaplacianXiping Liu0Mei Jia1College of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyAbstract We present here a new method of lower and upper solutions for a general boundary value problem of fractional differential equations with p-Laplacian operators. By using this approach, some new results on the existence of positive solutions for the equations with multiple types of nonlinear integral boundary conditions are established. Finally, some examples are presented to illustrate the wide range of potential applications of our main results.http://link.springer.com/article/10.1186/s13662-017-1446-1fractional differential equationsp-Laplacian operatorsfunctionalgeneral boundary value problemmethod of lower and upper solutionspositive solution |
| spellingShingle | Xiping Liu Mei Jia The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian Advances in Difference Equations fractional differential equations p-Laplacian operators functional general boundary value problem method of lower and upper solutions positive solution |
| title | The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian |
| title_full | The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian |
| title_fullStr | The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian |
| title_full_unstemmed | The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian |
| title_short | The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian |
| title_sort | method of lower and upper solutions for the general boundary value problems of fractional differential equations with p laplacian |
| topic | fractional differential equations p-Laplacian operators functional general boundary value problem method of lower and upper solutions positive solution |
| url | http://link.springer.com/article/10.1186/s13662-017-1446-1 |
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