Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance
By using the extension of Mawhin’s continuation theorem due to Ge, we consider boundary value problems for fractional p-Laplacian equation. A new result on the existence of solutions for the fractional boundary value problem is obtained, which generalizes and enriches some known results to some ext...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/809637 |
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| _version_ | 1832549854854774784 |
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| author | Zhigang Hu Wenbin Liu Jiaying Liu |
| author_facet | Zhigang Hu Wenbin Liu Jiaying Liu |
| author_sort | Zhigang Hu |
| collection | DOAJ |
| description | By using the extension of Mawhin’s continuation theorem due to Ge, we consider boundary value problems for fractional p-Laplacian equation. A new result on the existence of solutions for the fractional boundary value problem is obtained, which generalizes and enriches some known results to some extent from the literature. |
| format | Article |
| id | doaj-art-5e6195cafbbf4feba949bf952d5fd45d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5e6195cafbbf4feba949bf952d5fd45d2025-02-03T06:08:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/809637809637Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at ResonanceZhigang Hu0Wenbin Liu1Jiaying Liu2Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, ChinaDepartment of Mathematics, China University of Mining and Technology, Xuzhou 221008, ChinaDepartment of Mathematics, China University of Mining and Technology, Xuzhou 221008, ChinaBy using the extension of Mawhin’s continuation theorem due to Ge, we consider boundary value problems for fractional p-Laplacian equation. A new result on the existence of solutions for the fractional boundary value problem is obtained, which generalizes and enriches some known results to some extent from the literature.http://dx.doi.org/10.1155/2014/809637 |
| spellingShingle | Zhigang Hu Wenbin Liu Jiaying Liu Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance Abstract and Applied Analysis |
| title | Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance |
| title_full | Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance |
| title_fullStr | Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance |
| title_full_unstemmed | Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance |
| title_short | Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance |
| title_sort | existence of solutions of fractional differential equation with p laplacian operator at resonance |
| url | http://dx.doi.org/10.1155/2014/809637 |
| work_keys_str_mv | AT zhiganghu existenceofsolutionsoffractionaldifferentialequationwithplaplacianoperatoratresonance AT wenbinliu existenceofsolutionsoffractionaldifferentialequationwithplaplacianoperatoratresonance AT jiayingliu existenceofsolutionsoffractionaldifferentialequationwithplaplacianoperatoratresonance |