Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations
Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/276316 |
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doaj-755a08a4a6b0406a83b95f568fef4c672020-11-24T21:47:54ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/276316276316Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential EquationsPhollakrit Thiramanus0Jessada Tariboon1Sotiris K. Ntouyas2Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceSome new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.http://dx.doi.org/10.1155/2014/276316 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Phollakrit Thiramanus Jessada Tariboon Sotiris K. Ntouyas |
| spellingShingle |
Phollakrit Thiramanus Jessada Tariboon Sotiris K. Ntouyas Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations Abstract and Applied Analysis |
| author_facet |
Phollakrit Thiramanus Jessada Tariboon Sotiris K. Ntouyas |
| author_sort |
Phollakrit Thiramanus |
| title |
Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations |
| title_short |
Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations |
| title_full |
Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations |
| title_fullStr |
Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations |
| title_full_unstemmed |
Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations |
| title_sort |
henry-gronwall integral inequalities with “maxima” and their applications to fractional differential equations |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented. |
| url |
http://dx.doi.org/10.1155/2014/276316 |
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