Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator
We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is d...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/376938 |
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| _version_ | 1832552532401979392 |
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| author | Shang-lin Yao Guo-hui Wang Zhi-ping Li Li-jun Yu |
| author_facet | Shang-lin Yao Guo-hui Wang Zhi-ping Li Li-jun Yu |
| author_sort | Shang-lin Yao |
| collection | DOAJ |
| description | We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is defined as . By applying monotone iterative technique, some sufficient conditions for the existence of multiple positive solutions are established; moreover iterative schemes for approximating these solutions are also obtained, which start off a known simple linear function. In the end, an example is worked out to illustrate our main results. |
| format | Article |
| id | doaj-art-d6f2820cc977469bad03c8c7994c92c4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d6f2820cc977469bad03c8c7994c92c42025-02-03T05:58:34ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/376938376938Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian OperatorShang-lin Yao0Guo-hui Wang1Zhi-ping Li2Li-jun Yu3School of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, ChinaResearch Institute of Petroleum Exploration and Development, PetroChina, Beijing 100083, ChinaSchool of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, ChinaResearch Institute of Petroleum Exploration and Development, PetroChina, Beijing 100083, ChinaWe investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is defined as . By applying monotone iterative technique, some sufficient conditions for the existence of multiple positive solutions are established; moreover iterative schemes for approximating these solutions are also obtained, which start off a known simple linear function. In the end, an example is worked out to illustrate our main results.http://dx.doi.org/10.1155/2013/376938 |
| spellingShingle | Shang-lin Yao Guo-hui Wang Zhi-ping Li Li-jun Yu Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator Discrete Dynamics in Nature and Society |
| title | Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator |
| title_full | Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator |
| title_fullStr | Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator |
| title_full_unstemmed | Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator |
| title_short | Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator |
| title_sort | positive solutions for three point boundary value problem of fractional differential equation with laplacian operator |
| url | http://dx.doi.org/10.1155/2013/376938 |
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