2022Malaya Journal of MatematikOpen access

Stochastic delayed fractional-order differential equations driven by fractional Brownian motion

Ahmed Mahmoud Sayed Ibrahim

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Abstract

In this paper, we presents results on existence and uniqueness of mild solutions to stochastic differential equations with time delay driven by fractional Brownian motion (fBM) with Hurst index (1/2,1) in a Hilbert space with non-Lipschitzian coefficients.

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What this paper is about

In this paper, we presents results on existence and uniqueness of mild solutions to stochastic differential equations with time delay driven by fractional Brownian motion (fBM) with Hurst index (1/2,1) in a Hilbert space with non-Lipschitzian coefficients.

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Available abstract

In this paper, we presents results on existence and uniqueness of mild solutions to stochastic differential equations with time delay driven by fractional Brownian motion (fBM) with Hurst index (1/2,1) in a Hilbert space with non-Lipschitzian coefficients.

Key concepts: Fractional Brownian motion, Uniqueness, Mathematics, Hurst exponent, Stochastic differential equation, Brownian motion, Geometric Brownian motion, Mathematical analysis

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