Existence of positive solutions for the fractional q-difference boundary value problem
Abstract In this paper, we investigate the existence of positive solutions for a class of fractional boundary value problems involving q-difference. By using the fixed point theorem of cone mappings, two existence results are obtained. Examples are given to illustrate the abstract results.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02849-w |
| _version_ | 1818242626352054272 |
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| author | Yue Liang He Yang Hong Li |
| author_facet | Yue Liang He Yang Hong Li |
| author_sort | Yue Liang |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the existence of positive solutions for a class of fractional boundary value problems involving q-difference. By using the fixed point theorem of cone mappings, two existence results are obtained. Examples are given to illustrate the abstract results. |
| first_indexed | 2024-12-12T13:48:13Z |
| format | Article |
| id | doaj.art-fc55dac7548e4a93a75db2d6b0894207 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T13:48:13Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-fc55dac7548e4a93a75db2d6b08942072022-12-22T00:22:38ZengSpringerOpenAdvances in Difference Equations1687-18472020-08-012020111110.1186/s13662-020-02849-wExistence of positive solutions for the fractional q-difference boundary value problemYue Liang0He Yang1Hong Li2Center for Quantitative Biology, College of Science, Gansu Agricultural UniversityCollege of Mathematics and Statistics, Northwest Normal UniversityCenter for Quantitative Biology, College of Science, Gansu Agricultural UniversityAbstract In this paper, we investigate the existence of positive solutions for a class of fractional boundary value problems involving q-difference. By using the fixed point theorem of cone mappings, two existence results are obtained. Examples are given to illustrate the abstract results.http://link.springer.com/article/10.1186/s13662-020-02849-wFractional q-difference equationSingularityPositive solutionsBoundary value problemsFixed point theorem |
| spellingShingle | Yue Liang He Yang Hong Li Existence of positive solutions for the fractional q-difference boundary value problem Advances in Difference Equations Fractional q-difference equation Singularity Positive solutions Boundary value problems Fixed point theorem |
| title | Existence of positive solutions for the fractional q-difference boundary value problem |
| title_full | Existence of positive solutions for the fractional q-difference boundary value problem |
| title_fullStr | Existence of positive solutions for the fractional q-difference boundary value problem |
| title_full_unstemmed | Existence of positive solutions for the fractional q-difference boundary value problem |
| title_short | Existence of positive solutions for the fractional q-difference boundary value problem |
| title_sort | existence of positive solutions for the fractional q difference boundary value problem |
| topic | Fractional q-difference equation Singularity Positive solutions Boundary value problems Fixed point theorem |
| url | http://link.springer.com/article/10.1186/s13662-020-02849-w |
| work_keys_str_mv | AT yueliang existenceofpositivesolutionsforthefractionalqdifferenceboundaryvalueproblem AT heyang existenceofpositivesolutionsforthefractionalqdifferenceboundaryvalueproblem AT hongli existenceofpositivesolutionsforthefractionalqdifferenceboundaryvalueproblem |