Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion (Q6179910)

scientific article; zbMATH DE number 7780286

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English	Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion	scientific article; zbMATH DE number 7780286

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instance of

scholarly article

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title

Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion (English)

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Mathematical Methods in the Applied Sciences

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publication date

18 December 2023

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zbMATH Keywords

existence of solution

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exponential stability

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FitzHugh-Nagumo equation

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fractional Brownian motion

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non-instantaneous impulse

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.9076

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cites work

Mixed fractional stochastic differential equations with jumps

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Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point

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Optimal controls for second‐order stochastic differential equations driven by mixed‐fractional Brownian motion with impulses

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Non-instantaneous impulsive Hilfer fractional stochastic differential equations driven by fractional Brownian motion

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On a new class of abstract impulsive differential equations

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Patterns of interaction of coupled reaction-diffusion systems of the Fitzhugh-Nagumo type

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Ergodicity and spike rate for stochastic FitzHugh-Nagumo neural model with periodic forcing

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The stochastic FitzHugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model

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Wong-Zakai approximations and attractors for non-autonomous stochastic FitzHugh-Nagumo system on unbounded domains

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Effects of Lévy noise on the Fitzhugh-Nagumo model: a perspective on the maximal likely trajectories

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Smoothing dynamics of the non-autonomous stochastic Fitzhugh-Nagumo system on \(\mathbb{R}^N\) driven by multiplicative noises

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Optimal control of stochastic FitzHugh–Nagumo equation

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Optimal control of the FitzHugh-Nagumo stochastic model with nonlinear diffusion

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Continuity and random dynamics of the non-autonomous stochastic FitzHugh-Nagumo system on \(\mathbb{R}^N\)

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Stochastic dynamics of the FitzHugh-Nagumo neuron model through a modified van der Pol equation with fractional-order term and Gaussian white noise excitation

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Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability

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On stability of stochastic differential equations with random impulses driven by Poisson jumps

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Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses

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Existence and exponential behavior of multi-valued nonlinear fractional stochastic integro-differential equations with Poisson jumps of Clarke's subdifferential type

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Stability analysis for discrete time abstract fractional differential equations

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Stability analysis for nonlinear fractional-order systems based on comparison principle

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Q4228048

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ANALYSIS OF THE STOCHASTIC FITZHUGH–NAGUMO SYSTEM

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Approximate controllability of semilinear retarded stochastic differential system with non-instantaneous impulses: Fredholm theory approach

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Fractional Brownian Motions, Fractional Noises and Applications

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Stochastic time-optimal control for time-fractional Ginzburg–Landau equation with mixed fractional Brownian motion

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Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space

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Decay mild solutions for two-term time fractional differential equations in Banach spaces

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Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces

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Identifiers

zbMATH Open document ID

1529.60044

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DOI

10.1002/mma.9076

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6179910