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Synchronization for Fractional FitzHugh-Nagumo Equations with Fractional Brownian Motion
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This paper is devoted to the study of Caputo-type fractional
FitzHugh-Nagumo equations driven by fractional Brownian motion (fBm). We
establish the existence and uniqueness of mild solution under some
conditions on the coefficients. The exponential synchronization and
finite-time synchronization for the stochastic FitzHugh-Nagumo equations
are provided. The analysis of synchronization phenomenon for
time-fractional FitzHugh-Nagumo equations perturbed by fBm are provided.
Title: Synchronization for Fractional FitzHugh-Nagumo Equations with Fractional Brownian Motion
Description:
This paper is devoted to the study of Caputo-type fractional
FitzHugh-Nagumo equations driven by fractional Brownian motion (fBm).
We
establish the existence and uniqueness of mild solution under some
conditions on the coefficients.
The exponential synchronization and
finite-time synchronization for the stochastic FitzHugh-Nagumo equations
are provided.
The analysis of synchronization phenomenon for
time-fractional FitzHugh-Nagumo equations perturbed by fBm are provided.
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