Approximate controllability of impulsive evolution stochastic functional differential equations driven by a fractional Brownian motion
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Abstract
In this paper, we study the approximate controllability of certain class of impulsive evolution stochastic functional differential equations, with variable delays, driven by a fractional Brownian motion in a separable real Hilbert space. We derive a new set of sufficient conditions for approximate controllability using a stochastic analysis of fractional Brownian motion with Hurst parameter H ∈ (1/2,1) and a Schaefer's fixed point theorem. An example is considered at the end of the paper to illustrate the obtained abstract results.
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Lahmoudi, A., Lakhel, E. H., & Hajji, S. (2024). Approximate controllability of impulsive evolution stochastic functional differential equations driven by a fractional Brownian motion . Gulf Journal of Mathematics, 16(1), 36-54. https://doi.org/10.56947/gjom.v16i1.1371
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