Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay
A nonlinear Riemann–Liouville fractional differential equation with constant delay is studied. Initially, some existence results are proved. Three Ulam type stability concepts are defined and studied. Several sufficient conditions are obtained. Some of the obtained results are illustrated on fr...
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| Format: | Article |
| Language: | English |
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University of Szeged
2020-12-01
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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=8926 |
| _version_ | 1797830506092429312 |
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| author | Ravi Agarwal Snezhana Hristova Donal O'Regan |
| author_facet | Ravi Agarwal Snezhana Hristova Donal O'Regan |
| author_sort | Ravi Agarwal |
| collection | DOAJ |
| description | A nonlinear Riemann–Liouville fractional differential equation with constant delay is studied. Initially, some existence results are proved. Three Ulam type stability concepts are defined and studied. Several sufficient conditions are obtained. Some of the obtained results are illustrated on fractional biological models. |
| first_indexed | 2024-04-09T13:37:13Z |
| format | Article |
| id | doaj.art-568b4bfe6fca4ce494a18834ae6a8390 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:13Z |
| publishDate | 2020-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-568b4bfe6fca4ce494a18834ae6a83902023-05-09T07:53:10ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752020-12-0120206711810.14232/ejqtde.2020.1.678926Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delayRavi Agarwal0Snezhana Hristova1Donal O'Regan2Texas A&M University-Kingsville, Kingsville, TX, U.S.A.Department of Applied Mathematics and Modeling, University of Plovdiv Paisii Hilendarski, Plovdiv, BulgariaNational University of Ireland, Galway, IrelandA nonlinear Riemann–Liouville fractional differential equation with constant delay is studied. Initially, some existence results are proved. Three Ulam type stability concepts are defined and studied. Several sufficient conditions are obtained. Some of the obtained results are illustrated on fractional biological models.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8926riemann–liouville fractional derivativeconstant delayinitial value problemexistenceulam type stability |
| spellingShingle | Ravi Agarwal Snezhana Hristova Donal O'Regan Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay Electronic Journal of Qualitative Theory of Differential Equations riemann–liouville fractional derivative constant delay initial value problem existence ulam type stability |
| title | Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay |
| title_full | Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay |
| title_fullStr | Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay |
| title_full_unstemmed | Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay |
| title_short | Existence and Ulam type stability for nonlinear Riemann–Liouville fractional differential equations with constant delay |
| title_sort | existence and ulam type stability for nonlinear riemann liouville fractional differential equations with constant delay |
| topic | riemann–liouville fractional derivative constant delay initial value problem existence ulam type stability |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8926 |
| work_keys_str_mv | AT raviagarwal existenceandulamtypestabilityfornonlinearriemannliouvillefractionaldifferentialequationswithconstantdelay AT snezhanahristova existenceandulamtypestabilityfornonlinearriemannliouvillefractionaldifferentialequationswithconstantdelay AT donaloregan existenceandulamtypestabilityfornonlinearriemannliouvillefractionaldifferentialequationswithconstantdelay |