Fractional Integral Inequalities via Hadamard’s Fractional Integral
We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/563096 |
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| author | Weerawat Sudsutad Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Weerawat Sudsutad Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Weerawat Sudsutad |
| collection | DOAJ |
| description | We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed. |
| format | Article |
| id | doaj-art-21c55e0887c948c8b4ac69c3b5406d28 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-21c55e0887c948c8b4ac69c3b5406d282025-02-03T07:25:51ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/563096563096Fractional Integral Inequalities via Hadamard’s Fractional IntegralWeerawat Sudsutad0Sotiris K. Ntouyas1Jessada Tariboon2Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, ThailandWe establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM-GM inequalities. Many special cases are also discussed.http://dx.doi.org/10.1155/2014/563096 |
| spellingShingle | Weerawat Sudsutad Sotiris K. Ntouyas Jessada Tariboon Fractional Integral Inequalities via Hadamard’s Fractional Integral Abstract and Applied Analysis |
| title | Fractional Integral Inequalities via Hadamard’s Fractional Integral |
| title_full | Fractional Integral Inequalities via Hadamard’s Fractional Integral |
| title_fullStr | Fractional Integral Inequalities via Hadamard’s Fractional Integral |
| title_full_unstemmed | Fractional Integral Inequalities via Hadamard’s Fractional Integral |
| title_short | Fractional Integral Inequalities via Hadamard’s Fractional Integral |
| title_sort | fractional integral inequalities via hadamard s fractional integral |
| url | http://dx.doi.org/10.1155/2014/563096 |
| work_keys_str_mv | AT weerawatsudsutad fractionalintegralinequalitiesviahadamardsfractionalintegral AT sotiriskntouyas fractionalintegralinequalitiesviahadamardsfractionalintegral AT jessadatariboon fractionalintegralinequalitiesviahadamardsfractionalintegral |