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The existence and averaging principle for stochastic fractional differential equations with impulses
  • Jing Zou,
  • Danfeng Luo,
  • Mengmeng Li
Jing Zou
Guizhou University

Corresponding Author:zjing210107@163.com

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Danfeng Luo
Guizhou University
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Mengmeng Li
Guizhou University
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Abstract

In this paper, a class of stochastic fractional differential equations (SFDEs) with impulses is considered. By virtue of the Monch’s fixed point theorem and Banach contraction principle, we explore the existence and uniqueness of solutions to the addressed system. Furthermore, with the aid of the Jensen’s inequality, Holder inequality, Burkholder-Davis-Gundy inequality, Gronwall-Bellman inequality and some novel assumptions, the averaging principle of our considered system is obtained. At the end of this paper, an example is provided to illustrate the theoretical results.
28 May 2022Submitted to Mathematical Methods in the Applied Sciences
28 May 2022Submission Checks Completed
28 May 2022Assigned to Editor
17 Jun 2022Reviewer(s) Assigned
20 Sep 2022Review(s) Completed, Editorial Evaluation Pending
08 Oct 2022Editorial Decision: Revise Minor
14 Oct 20221st Revision Received
18 Oct 2022Submission Checks Completed
18 Oct 2022Assigned to Editor
18 Oct 2022Review(s) Completed, Editorial Evaluation Pending
01 Nov 2022Reviewer(s) Assigned
28 Nov 2022Editorial Decision: Accept
11 Dec 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8945