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Controllability of neutral stochastic integro-differential evolution equations driven by a fractional Brownian motion

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We establish sufficient conditions for the controllability of a certain class of neutral stochastic functional integro-differential evolution equations in Hilbert spaces. The results are obtained using semigroup theory, resolvent operators… Click to show full abstract

We establish sufficient conditions for the controllability of a certain class of neutral stochastic functional integro-differential evolution equations in Hilbert spaces. The results are obtained using semigroup theory, resolvent operators and a fixed-point technique. An application to neutral partial integro-differential stochastic equations perturbed by fractional Brownian motion is given.

Keywords: integro; integro differential; evolution equations; fractional brownian; neutral stochastic; differential evolution

Journal Title: Afrika Matematika
Year Published: 2017

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