Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations
Some new weakly singular integral inequalities of Gronwall-Bellman type are established, which can be used in the qualitative analysis of the solutions to certain fractional differential equations.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/217641 |
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doaj-c5c48340cca24fd5be7b35883f54d8a72020-11-24T23:12:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/217641217641Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential EquationsJing Shao0Fanwei Meng1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSome new weakly singular integral inequalities of Gronwall-Bellman type are established, which can be used in the qualitative analysis of the solutions to certain fractional differential equations.http://dx.doi.org/10.1155/2013/217641 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jing Shao Fanwei Meng |
| spellingShingle |
Jing Shao Fanwei Meng Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations Abstract and Applied Analysis |
| author_facet |
Jing Shao Fanwei Meng |
| author_sort |
Jing Shao |
| title |
Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations |
| title_short |
Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations |
| title_full |
Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations |
| title_fullStr |
Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations |
| title_full_unstemmed |
Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations |
| title_sort |
gronwall-bellman type inequalities and their applications to fractional differential equations |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2013-01-01 |
| description |
Some new weakly singular integral inequalities of Gronwall-Bellman type are established, which can be used in the qualitative analysis of the solutions to certain fractional differential equations. |
| url |
http://dx.doi.org/10.1155/2013/217641 |
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AT jingshao gronwallbellmantypeinequalitiesandtheirapplicationstofractionaldifferentialequations AT fanweimeng gronwallbellmantypeinequalitiesandtheirapplicationstofractionaldifferentialequations |
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