Neutral stochastic delay partial functional integro-differential equations driven by a fractional Brownian motion |
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Authors: | Tomás CARABALLO Mamadou Abdoul DIOP |
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Institution: | 1. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain; 2. Université Gaston Berger de Saint-Louis, UFR SAT, Département de Mathématiques, 234, Saint-Louis, Sénégal |
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Abstract: | This paper deals with the existence and uniqueness of mild solutions to neutral stochastic delay functional integro-differential equations perturbed by a fractional Brownian motion B H , with Hurst parameter H ∈ (1/2, 1). We use the theory of resolvent operators developed by R. Grimmer to show the existence of mild solutions. An example is provided to illustrate the results of this work. |
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Keywords: | Resolvent operator C0-semigroup Wiener process mild solution fractional Brownian motion |
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