Article
Topological method for coupled systems of impulsive stochastic semilinear differential inclusions with fractional Brownian motion
Author/s | Blouhi, Tayeb
Caraballo Garrido, Tomás Ouahab, Abdelghani |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2019-02 |
Deposit Date | 2019-09-05 |
Published in |
|
Abstract | 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. |
Project ID. | MTM2015-63723-P
2010/FQM314 P12-FQM-1492 |
Citation | 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Topological method for couple ... | 275.5Kb | [PDF] | View/ | |