Abstract
In this manuscript, we study the approximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motion in Hilbert space. The results are obtained by using the \(\rho \)-resolvent family, and fixed point techniques. Finally, we have given an example to illustrate the applicability of our results.
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Dhayal, R., Malik, M. & Abbas, S. Approximate Controllability for a Class of Non-instantaneous Impulsive Stochastic Fractional Differential Equation Driven by Fractional Brownian Motion. Differ Equ Dyn Syst 29, 175–191 (2021). https://doi.org/10.1007/s12591-019-00463-1
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DOI: https://doi.org/10.1007/s12591-019-00463-1
Keywords
- Stochastic fractional differential equation
- Approximate controllability
- Fractional Brownian motion
- Non-instantaneous impulses