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...

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Detalles Bibliográficos
Autores: Besteiro, Agustin Tomas, Rial, Diego Fernando
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/116937
Acceso en línea:http://hdl.handle.net/11336/116937
Access Level:acceso abierto
Palabra clave:FRACTIONAL DIFFUSION
GLOBAL EXISTENCE
SPLITTING METHOD
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario: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.