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Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion

Random Operators and Stochastic Equations, 2022
In this paper, we consider a class of fractional impulsive neutral stochastic functional differential equations with infinite delay driven by a fractional Brownian motion in a real separable Hilbert space.
Ahmed Lahmoudi, E. Lakhel
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Controllability of fractional neutral functional differential equations with infinite delay driven by fractional Brownian motion

IMA Journal of Mathematical Control and Information, 2021
In this work, we establish a controllability result for a class of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion.
M. Dieye, E. Lakhel, M. McKibben
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Neutral fuzzy fractional functional differential equations

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Phu, Nguyen Dinh   +2 more
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On the existence and mean square stability of neutral stochastic functional differential equations driven by G‐Lévy process

Mathematical methods in the applied sciences, 2022
The goal of the present article is to investigate the concepts of existences and stability for neutral stochastic functional differential equations (NSFDEs) driven by G‐Lévy process.
Faiz Faizullah, R. Ullah, Quanxin Zhu
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Neutral Mixed Type Functional Differential Equations

Journal of Dynamics and Differential Equations, 2015
The authors consider implicitly defined equations of mixed type which arose from examining electrical signaling in cardiac tissue and nerve conduction models. They are studying travelling wave solutions \((\phi,c)\) with \(\phi\) waveform and wave speed \(c\) which satisfy the following equation: \[ \sum\limits^N_{j=1}B_j(\xi)\left[-c\phi'(\xi+r_j)+f ...
Lamb, Charles, Van Vleck, Erik S.
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Asymptotic behaviour analysis of hybrid neutral stochastic functional differential equations driven by Lévy noise

International Journal of Control, 2022
This paper focuses on the existence and uniqueness, the pth moment and almost sure stability with a general decay rate and the practical stability with general decay rate of a class of hybrid neutral stochastic functional differential equations driven by
Jing Cui, Haihan Yang
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Spline Approximations for Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis, 1981
Based on an abstract approximation theorem for ${\text{C}}_0 $-semigroups (Trotter–Kato theorem) we present an algorithm where linear autonomous functional-differential equations of neutral type are approximated by sequences of ordinary differential equations of increasing dimensions.
Kappel, F., Kunisch, K.
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Normal Forms for Partial Neutral Functional Differential Equations with Applications to Diffusive Lossless Transmission Line

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2020
A class of partial neutral functional differential equations are considered. For the linearized equation, the semigroup properties and formal adjoint theory are established.
Chuncheng Wang
semanticscholar   +1 more source

PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia, 2001
The problem of periodic solutions for nonlinear neutral functional-differential equations \[ \frac{d}{dt}D(t, x_t)=f(t,x_t) \] is discussed by using coincidence degree theory. A new result on the existence of periodic solutions is obtained.
Peng, Shiguo, Zhu, Siming
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Second Order Abstract Neutral Functional Differential Equations

Journal of Dynamics and Differential Equations, 2015
In this paper, the authors study abstract second order neutral functional-differential equations with finite delay in a Banach space (existence and uniqueness of mild and classical solutions of abstract Cauchy problems). The reader can find, results on the existence of mild solutions of second order semilinear Cauchy problems, a variation of constants ...
Henríquez, Hernán R., Cuevas, Claudio
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