Generation of random dynamical systems from fractional stochastic delay differential equations

2013/09/25 by Luu Hoang Duc, Duc, Luu Hoang, Björn Schmalfuß +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Probability (math.PR) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1309.6478

openalex publication_date 2013/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we prove that a fractional stochastic delay differential equation which satisfies natural regularity conditions generates a continuous random dynamical system on a subspace of a Hölder space which is separable.

Citations

• Random dynamical systems
• Fractional Brownian Motions, Fractional Noises and Applications
• An inequality of the Hölder type, connected with Stieltjes integration

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