Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation
In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-12-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2018.1558613 |
| _version_ | 1819260818505596928 |
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| author | D. Vivek Kamal Shah K. Kanagarajan |
| author_facet | D. Vivek Kamal Shah K. Kanagarajan |
| author_sort | D. Vivek |
| collection | DOAJ |
| description | In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality. |
| first_indexed | 2024-12-23T19:31:57Z |
| format | Article |
| id | doaj.art-e3cdb9a542d54ce1853eaaaabf235ed9 |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-12-23T19:31:57Z |
| publishDate | 2019-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-e3cdb9a542d54ce1853eaaaabf235ed92022-12-21T17:33:53ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552019-12-0113122523010.1080/16583655.2018.15586131558613Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximationD. Vivek0Kamal Shah1K. Kanagarajan2Sri Ramakrishna Mission Vidyalaya College of Arts and ScienceUniversity of MalakandSri Ramakrishna Mission Vidyalaya College of Arts and ScienceIn this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.http://dx.doi.org/10.1080/16583655.2018.1558613nonlinear pantograph equationhilfer–hadamard fractional derivativeexistencefixed pointsuccessive approximation |
| spellingShingle | D. Vivek Kamal Shah K. Kanagarajan Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation Journal of Taibah University for Science nonlinear pantograph equation hilfer–hadamard fractional derivative existence fixed point successive approximation |
| title | Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation |
| title_full | Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation |
| title_fullStr | Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation |
| title_full_unstemmed | Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation |
| title_short | Dynamical analysis of Hilfer–Hadamard type fractional pantograph equations via successive approximation |
| title_sort | dynamical analysis of hilfer hadamard type fractional pantograph equations via successive approximation |
| topic | nonlinear pantograph equation hilfer–hadamard fractional derivative existence fixed point successive approximation |
| url | http://dx.doi.org/10.1080/16583655.2018.1558613 |
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