4.4 Article

STOCHASTIC DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES DRIVEN BY A FRACTIONAL BROWNIAN MOTION

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume 22, Issue 7, Pages 2521-2541

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2017084

Keywords

Fractional Brownian motion; fixed point; mild solutions; stochastic functional differential equation

Funding

  1. MINECO/FEDER, EU [MTM2015-63723-P]
  2. Consejeria de Innovacion, Ciencia y Empresa (Junta de Andalucia) [2010/FQM314]
  3. Proyecto de Excelencia [P12-FQM-1492]

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This paper is concerned with the existence and continuous dependence of mild solutions to stochastic differential equations with non-instantaneous impulses driven by fractional Brownian motions. Our approach is based on a Banach fixed point theorem and Krasnoselski-Schaefer type fixed point theorem.

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