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.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/276316 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547514894516224 |
|---|---|
| author | Phollakrit Thiramanus Jessada Tariboon Sotiris K. Ntouyas |
| author_facet | Phollakrit Thiramanus Jessada Tariboon Sotiris K. Ntouyas |
| author_sort | Phollakrit Thiramanus |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-755a08a4a6b0406a83b95f568fef4c67 |
| 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-755a08a4a6b0406a83b95f568fef4c672025-02-03T06:44:33ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/276316 |
| work_keys_str_mv | AT phollakritthiramanus henrygronwallintegralinequalitieswithmaximaandtheirapplicationstofractionaldifferentialequations AT jessadatariboon henrygronwallintegralinequalitieswithmaximaandtheirapplicationstofractionaldifferentialequations AT sotiriskntouyas henrygronwallintegralinequalitieswithmaximaandtheirapplicationstofractionaldifferentialequations |