A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application
We establish a class of new nonlinear retarded weakly singular integral inequality. Under several practical assumptions, the inequality is solved by adopting novel analysis techniques, and explicit bounds for the unknown functions are given clearly. An application of our result to the fractional dif...
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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: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/218507 |
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| _version_ | 1850212140612321280 |
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| author | Yuanhua Lin Shanhe Wu Wu-Sheng Wang |
| author_facet | Yuanhua Lin Shanhe Wu Wu-Sheng Wang |
| author_sort | Yuanhua Lin |
| collection | DOAJ |
| description | We establish a class of new nonlinear retarded weakly singular integral inequality. Under several practical assumptions, the inequality is solved by adopting novel analysis techniques, and explicit bounds for the unknown functions are given clearly. An application of our result to the fractional differential equations with delay is shown at the end of the paper. |
| format | Article |
| id | doaj-art-8a9e77bf918f4718ab8374aa673053b6 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8a9e77bf918f4718ab8374aa673053b62025-08-20T02:09:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/218507218507A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its ApplicationYuanhua Lin0Shanhe Wu1Wu-Sheng Wang2School of Mathematics and Statistics, Hechi University, Guangxi, Yizhou 546300, ChinaDepartment of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, ChinaSchool of Mathematics and Statistics, Hechi University, Guangxi, Yizhou 546300, ChinaWe establish a class of new nonlinear retarded weakly singular integral inequality. Under several practical assumptions, the inequality is solved by adopting novel analysis techniques, and explicit bounds for the unknown functions are given clearly. An application of our result to the fractional differential equations with delay is shown at the end of the paper.http://dx.doi.org/10.1155/2014/218507 |
| spellingShingle | Yuanhua Lin Shanhe Wu Wu-Sheng Wang A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application Journal of Applied Mathematics |
| title | A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application |
| title_full | A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application |
| title_fullStr | A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application |
| title_full_unstemmed | A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application |
| title_short | A Nonlinear Weakly Singular Retarded Henry-Gronwall Type Integral Inequality and Its Application |
| title_sort | nonlinear weakly singular retarded henry gronwall type integral inequality and its application |
| url | http://dx.doi.org/10.1155/2014/218507 |
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