A New Fractional Integral Inequality with Singularity and Its Application
We prove an integral inequality with singularity, which complements some known results. This inequality enables us to study the dependence of the solution on the initial condition to a fractional differential equation in the weighted space.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/937908 |
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| _version_ | 1850120208775118848 |
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| author | Qiong-Xiang Kong Xiao-Li Ding |
| author_facet | Qiong-Xiang Kong Xiao-Li Ding |
| author_sort | Qiong-Xiang Kong |
| collection | DOAJ |
| description | We prove an integral inequality with singularity, which complements some known results. This inequality enables us to study the dependence of the solution on the initial condition to a fractional differential equation in the weighted space. |
| format | Article |
| id | doaj-art-68c16588f1fd4239bf04debe298ebf3a |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-68c16588f1fd4239bf04debe298ebf3a2025-08-20T02:35:25ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/937908937908A New Fractional Integral Inequality with Singularity and Its ApplicationQiong-Xiang Kong0Xiao-Li Ding1Department of Building Environment and Services Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, ChinaDepartment of Mathematical Sciences, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, ChinaWe prove an integral inequality with singularity, which complements some known results. This inequality enables us to study the dependence of the solution on the initial condition to a fractional differential equation in the weighted space.http://dx.doi.org/10.1155/2012/937908 |
| spellingShingle | Qiong-Xiang Kong Xiao-Li Ding A New Fractional Integral Inequality with Singularity and Its Application Abstract and Applied Analysis |
| title | A New Fractional Integral Inequality with Singularity and Its Application |
| title_full | A New Fractional Integral Inequality with Singularity and Its Application |
| title_fullStr | A New Fractional Integral Inequality with Singularity and Its Application |
| title_full_unstemmed | A New Fractional Integral Inequality with Singularity and Its Application |
| title_short | A New Fractional Integral Inequality with Singularity and Its Application |
| title_sort | new fractional integral inequality with singularity and its application |
| url | http://dx.doi.org/10.1155/2012/937908 |
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