Neutral Stochastic Integrodifferential Equations Driven by a Fractional Brownian Motion with Impulsive Effects and Time-varying Delays |
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Authors: | Mamadou Abdoul Diop Sakthivel Rathinasamy Abdoul Aziz Ndiaye |
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Affiliation: | 1.Département de Mathématiques,Université Gaston Berger de Saint-Louis, UFR SAT,Saint-Louis,Senegal;2.Department of Mathematics,Sungkyunkwan University,Suwon,Republic of Korea |
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Abstract: | This paper deals with the existence,uniqueness and asymptotic behaviors of mild solutions to neutral stochastic delay functional integrodifferential equations with impulsive effects, perturbed by a fractional Brownian motion B H , with Hurst parameter ({H in (frac{1}{2},1)}). We use the theory of resolvent operators developed in Grimmer (Trans Am Math Soc 273(1982):333–349, 2009) to show the existence of mild solutions. An example is provided to illustrate the results of this work. |
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