Existence of Peregrine type solutions in fractional reaction–diffusion equations
In this article, we analyze the existence of Peregrine type solutions for the fractional reaction–diffusion equation by applying splitting-type methods. Peregrine type functions have two main characteristics, these are direct sum of functions of periodic type and functions that tend to zero at infin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2019-02-01
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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=7086 |
| _version_ | 1797830485312798720 |
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| author | Agustin Besteiro Diego Rial |
| author_facet | Agustin Besteiro Diego Rial |
| author_sort | Agustin Besteiro |
| collection | DOAJ |
| description | In this article, we analyze the existence of Peregrine type solutions for the fractional reaction–diffusion equation by applying splitting-type methods. Peregrine type functions have two main characteristics, these are direct sum of functions of periodic type and functions that tend to zero at infinity. Well-posedness results are obtained for each particular characteristic, and for both combined. |
| first_indexed | 2024-04-09T13:36:52Z |
| format | Article |
| id | doaj.art-0a43ea8dc2664c64ae982ba958e561b4 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:36:52Z |
| publishDate | 2019-02-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-0a43ea8dc2664c64ae982ba958e561b42023-05-09T07:53:09ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752019-02-01201991910.14232/ejqtde.2019.1.97086Existence of Peregrine type solutions in fractional reaction–diffusion equationsAgustin Besteiro0Diego Rial1Instituto de Matemática Luis Santaló CONICET–UBA, Buenos Aires, ArgentinaDpto. de Matemática, Universidad de Buenos Aires, ArgentinaIn this article, we analyze the existence of Peregrine type solutions for the fractional reaction–diffusion equation by applying splitting-type methods. Peregrine type functions have two main characteristics, these are direct sum of functions of periodic type and functions that tend to zero at infinity. Well-posedness results are obtained for each particular characteristic, and for both combined.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7086fractional diffusionglobal existencelie–trotter method |
| spellingShingle | Agustin Besteiro Diego Rial Existence of Peregrine type solutions in fractional reaction–diffusion equations Electronic Journal of Qualitative Theory of Differential Equations fractional diffusion global existence lie–trotter method |
| title | Existence of Peregrine type solutions in fractional reaction–diffusion equations |
| title_full | Existence of Peregrine type solutions in fractional reaction–diffusion equations |
| title_fullStr | Existence of Peregrine type solutions in fractional reaction–diffusion equations |
| title_full_unstemmed | Existence of Peregrine type solutions in fractional reaction–diffusion equations |
| title_short | Existence of Peregrine type solutions in fractional reaction–diffusion equations |
| title_sort | existence of peregrine type solutions in fractional reaction diffusion equations |
| topic | fractional diffusion global existence lie–trotter method |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7086 |
| work_keys_str_mv | AT agustinbesteiro existenceofperegrinetypesolutionsinfractionalreactiondiffusionequations AT diegorial existenceofperegrinetypesolutionsinfractionalreactiondiffusionequations |