Artículo
Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
Autor/es | Blouhi, Tayeb
Caraballo Garrido, Tomás Ouahab, Abdelghani |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2019-02 |
Fecha de depósito | 2019-09-05 |
Publicado en |
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Resumen | In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the ... In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the right hand side can be either convex or nonconvex-valued. The results are obtained by using two different fixed point theorems for multivalued mappings, more precisely, the technique is based on a multivalued version of Perov’s fixed point theorem and a new version of a nonlinear alternative of Leray–Schauder’s fixed point theorem in generalized Banach spaces. |
Identificador del proyecto | MTM2015-63723-P
2010/FQM314 P12-FQM-1492 |
Cita | Blouhi, T., Caraballo Garrido, T. y Ouahab, A. (2019). Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion. Fixed Point Theory, 20 (1), 71-106. |
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