Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay

In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay in the case where the right hand side is convex or nonconvex-valued. The results are obt...

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Detalles Bibliográficos
Autores: Boudaoui, Ahmed, Caraballo Garrido, Tomás, Ouahab, Abdelghani
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/44885
Acceso en línea:http://hdl.handle.net/11441/44885
https://doi.org/10.1002/mma.3580
Access Level:acceso abierto
Palabra clave:Mild solutions
Impulsive stochastic functional differential inclusion
Fractional Brownian motion
Fixed point
Descripción
Sumario:In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay in the case where the right hand side is convex or nonconvex-valued. The results are obtained by using two fixed point theorems for multivalued mappings.