Averaging principle for fast-slow system driven by mixed fractional Brownian rough path

Bin Pei, Yuzuru Inahama, Yong Xu

研究成果: Contribution to journalArticle査読

抄録

This paper is devoted to studying the averaging principle for a fast-slow system of rough differential equations driven by mixed fractional Brownian rough path. The fast component is driven by Brownian motion, while the slow component is driven by fractional Brownian motion with Hurst index H(1/3<H≤1/2). Combining the fractional calculus approach to rough path theory and Khasminskii's classical time discretization method, we prove that the slow component strongly converges to the solution of the corresponding averaged equation in the L1-sense. The averaging principle for a fast-slow system in the framework of rough path theory seems new.

本文言語英語
ページ(範囲)202-235
ページ数34
ジャーナルJournal of Differential Equations
301
DOI
出版ステータス出版済み - 11 15 2021

All Science Journal Classification (ASJC) codes

  • 分析
  • 応用数学

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