Existence and uniquenes results for systems of impulsive functional stochastic differential equations driven by fractional Brownian motion with multiple delay

Mohamed Ferhat, Tayeb Blouhi

DOI: http://dx.doi.org/10.12775/TMNA.2018.009

Abstract


We present some existence and uniqueness results on impulsive functional differential equations with multiple delay with fractional Brownian motion. Our approach is based on the Perov fixed point theorem and a new version of Schaefer's fixed point in generalized metric and Banach spaces.

Keywords


Fractional Brownian motion; impulsive functional differential equations; matrix convergent to zero; generalized Banach space; fixed point

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