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Synchronization for Fractional FitzHugh-Nagumo Equations with Fractional Brownian Motion
  • xiuqi Huang,
  • Hongfu Yang,
  • Xiangjun Wang
xiuqi Huang
National University of Defense Technology

Corresponding Author:[email protected]

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Hongfu Yang
National University of Defense Technology
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Xiangjun Wang
Huazhong University of Science and Technology - Wuchang Campus
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Abstract

This paper is devoted to the study of Caputo-type fractional FitzHugh-Nagumo equations driven by fractional Brownian motion (fBm). We establish the existence and uniqueness of mild solution under some conditions on the coefficients. The exponential synchronization and finite-time synchronization for the stochastic FitzHugh-Nagumo equations are provided. The analysis of synchronization phenomenon for time-fractional FitzHugh-Nagumo equations perturbed by fBm are provided.

Peer review status:Published

13 Feb 2022Submitted to Mathematical Methods in the Applied Sciences
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14 Feb 2022Submission Checks Completed
14 Feb 2022Assigned to Editor
23 Feb 2022Reviewer(s) Assigned
27 Mar 2022Review(s) Completed, Editorial Evaluation Pending
03 Apr 2022Editorial Decision: Revise Major
26 May 20221st Revision Received
27 May 2022Submission Checks Completed
27 May 2022Assigned to Editor
04 Jun 2022Reviewer(s) Assigned
05 Jun 2022Review(s) Completed, Editorial Evaluation Pending
16 Jun 2022Editorial Decision: Accept
Jul 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8526