The existence of extremal solutions for fractional <i>p</i>-Laplacian problems with the right-handed Riemann-Liouville fractional derivative
In this paper we study the solvability of fractional <i>p</i>-Laplacian problems involving the righthanded Riemann-Liouville derivative. By applying monotone iterative technique, lower and upper solutions method and the Banach fixed point theorem, we obtain sufficient conditions for the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Journals Center of Shanghai Normal University
2019-06-01
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| Series: | Journal of Shanghai Normal University (Natural Sciences) |
| Subjects: | |
| Online Access: | http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190307 |
| Summary: | In this paper we study the solvability of fractional <i>p</i>-Laplacian problems involving the righthanded Riemann-Liouville derivative. By applying monotone iterative technique, lower and upper solutions method and the Banach fixed point theorem, we obtain sufficient conditions for the existence and uniqueness of extremal solutions, and extend the existing results. Finally, we provide an examples to illustrate the results. |
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| ISSN: | 1000-5137 1000-5137 |