Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives
Abstract In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the metho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-020-03154-2 |
| _version_ | 1818724279887331328 |
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| author | Shuqi Wang Zhanbing Bai |
| author_facet | Shuqi Wang Zhanbing Bai |
| author_sort | Shuqi Wang |
| collection | DOAJ |
| description | Abstract In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the method is Banach contraction mapping principle. Finally, an example is given to verify the results. |
| first_indexed | 2024-12-17T21:23:54Z |
| format | Article |
| id | doaj.art-9fdce9673f504c41ac5507604b24e954 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-17T21:23:54Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-9fdce9673f504c41ac5507604b24e9542022-12-21T21:32:06ZengSpringerOpenAdvances in Difference Equations1687-18472020-12-01202011910.1186/s13662-020-03154-2Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivativesShuqi Wang0Zhanbing Bai1College of Mathematics and System Science, Shandong University of Science and TechnologyCollege of Mathematics and System Science, Shandong University of Science and TechnologyAbstract In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the method is Banach contraction mapping principle. Finally, an example is given to verify the results.https://doi.org/10.1186/s13662-020-03154-2Fractional derivativesp-Laplace operatorExistence and uniqueness |
| spellingShingle | Shuqi Wang Zhanbing Bai Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives Advances in Difference Equations Fractional derivatives p-Laplace operator Existence and uniqueness |
| title | Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives |
| title_full | Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives |
| title_fullStr | Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives |
| title_full_unstemmed | Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives |
| title_short | Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives |
| title_sort | existence and uniqueness of solutions for a mixed p laplace boundary value problem involving fractional derivatives |
| topic | Fractional derivatives p-Laplace operator Existence and uniqueness |
| url | https://doi.org/10.1186/s13662-020-03154-2 |
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