The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems
In this paper, we investigate singular Hadamard fractional boundary value problems. The existence and uniqueness of the exact iterative solution are established only by using an iterative algorithm. The iterative sequences have been proved to converge uniformly to the exact solution, and estimation...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/5923490 |
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| _version_ | 1832556353497858048 |
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| author | Jinxiu Mao Zengqin Zhao Chenguang Wang |
| author_facet | Jinxiu Mao Zengqin Zhao Chenguang Wang |
| author_sort | Jinxiu Mao |
| collection | DOAJ |
| description | In this paper, we investigate singular Hadamard fractional boundary value problems. The existence and uniqueness of the exact iterative solution are established only by using an iterative algorithm. The iterative sequences have been proved to converge uniformly to the exact solution, and estimation of the approximation error and the convergence rate have also been derived. |
| format | Article |
| id | doaj-art-ae50e0434a5047ca8fe2888c4df37de1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ae50e0434a5047ca8fe2888c4df37de12025-02-03T05:45:36ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/59234905923490The Unique Positive Solution for Singular Hadamard Fractional Boundary Value ProblemsJinxiu Mao0Zengqin Zhao1Chenguang Wang2School of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, ChinaSchool of Mathematics, Qufu Normal University, Qufu, Shandong, 273165, ChinaDepartment of Mathematics, Jining University, Qufu, Shandong, 273155, ChinaIn this paper, we investigate singular Hadamard fractional boundary value problems. The existence and uniqueness of the exact iterative solution are established only by using an iterative algorithm. The iterative sequences have been proved to converge uniformly to the exact solution, and estimation of the approximation error and the convergence rate have also been derived.http://dx.doi.org/10.1155/2019/5923490 |
| spellingShingle | Jinxiu Mao Zengqin Zhao Chenguang Wang The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems Journal of Function Spaces |
| title | The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems |
| title_full | The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems |
| title_fullStr | The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems |
| title_full_unstemmed | The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems |
| title_short | The Unique Positive Solution for Singular Hadamard Fractional Boundary Value Problems |
| title_sort | unique positive solution for singular hadamard fractional boundary value problems |
| url | http://dx.doi.org/10.1155/2019/5923490 |
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