Approximate controllability of impulsive evolution stochastic functional differential equations driven by a fractional Brownian motion

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Ahmed Lahmoudi
El Hassan Lakhel
Salah Hajji

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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How to Cite
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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