New conditions for the exponential stability of fractionally perturbed ODEs
The aim of this paper is to present some results on the exponential stability of the zero solution for a class of fractionally perturbed ordinary differential equations, whose right-hand sides involve the Riemann–Liouville substantial fractional integrals of different orders and we assume that they...
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6643 |
| _version_ | 1797830513852940288 |
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| author | Milan Medved Eva Brestovanská |
| author_facet | Milan Medved Eva Brestovanská |
| author_sort | Milan Medved |
| collection | DOAJ |
| description | The aim of this paper is to present some results on the exponential stability of the zero solution for a class of fractionally perturbed ordinary differential equations, whose right-hand sides involve the Riemann–Liouville substantial fractional integrals of different orders and we assume that they are polynomially bounded. In their proofs we apply a method recently developed by Rigoberto Medina. We also prove an existence result for this type of equations. |
| first_indexed | 2024-04-09T13:38:24Z |
| format | Article |
| id | doaj.art-6eee0c88310f4cc9bf7805a5ab77e057 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:24Z |
| publishDate | 2018-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-6eee0c88310f4cc9bf7805a5ab77e0572023-05-09T07:53:08ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-10-0120188411410.14232/ejqtde.2018.1.846643New conditions for the exponential stability of fractionally perturbed ODEsMilan Medved0Eva Brestovanská1Comenius University, Bratislava, SlovakiaDepartment of Economics and Finance, Faculty of Management, Comenius University, Bratislava, SlovakiaThe aim of this paper is to present some results on the exponential stability of the zero solution for a class of fractionally perturbed ordinary differential equations, whose right-hand sides involve the Riemann–Liouville substantial fractional integrals of different orders and we assume that they are polynomially bounded. In their proofs we apply a method recently developed by Rigoberto Medina. We also prove an existence result for this type of equations.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6643fractional differential equationriemann–liouville integralexponential stability |
| spellingShingle | Milan Medved Eva Brestovanská New conditions for the exponential stability of fractionally perturbed ODEs Electronic Journal of Qualitative Theory of Differential Equations fractional differential equation riemann–liouville integral exponential stability |
| title | New conditions for the exponential stability of fractionally perturbed ODEs |
| title_full | New conditions for the exponential stability of fractionally perturbed ODEs |
| title_fullStr | New conditions for the exponential stability of fractionally perturbed ODEs |
| title_full_unstemmed | New conditions for the exponential stability of fractionally perturbed ODEs |
| title_short | New conditions for the exponential stability of fractionally perturbed ODEs |
| title_sort | new conditions for the exponential stability of fractionally perturbed odes |
| topic | fractional differential equation riemann–liouville integral exponential stability |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6643 |
| work_keys_str_mv | AT milanmedved newconditionsfortheexponentialstabilityoffractionallyperturbedodes AT evabrestovanska newconditionsfortheexponentialstabilityoffractionallyperturbedodes |