Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay |
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| Authors: | Ahmed Boudaoui Tomás Caraballo Abdelghani Ouahab |
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| Affiliation: | 1. Laboratory of Mathematics, Univ. Sidi Bel Abbes, Sidi‐Bel‐Abbes, Algeria;2. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Sevilla, Spain |
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| Abstract: | In this paper, we prove the existence of mild solutions for a first‐order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay. We consider the cases in which the right hand side is convex or nonconvex valued. The results are obtained by using two different fixed point theorems for multivalued mappings. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | mild solutions impulsive stochastic functional differential inclusion fractional Brownian motion fixed point |
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