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Impulsive fractional partial differential system and its correct integral solution
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  • Xianmin Zhang,
  • Zuohua Liu,
  • Zuming Peng,
  • Yali He,
  • Shixian Yang
Xianmin Zhang
Yangtze Normal University

Corresponding Author:z6x2m@126.com

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Zuohua Liu
Chongqing University
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Zuming Peng
Yangtze Normal University
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Yali He
Yangtze Normal University
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Shixian Yang
Yangtze Normal University
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Abstract

It is found that there are two piecewise functions satisfy the conditions in the impulsive fractional partial differential system (IFrPDS), which deduce that the three different integral solutions of the IFrPDS given in the cited papers are inappropriate. Next, by applying two limit properties of the IFrPDS and the properties of piecewise function, the new formula of solution of the IFrPDS is discovered that is the integral equation with an arbitrary continuously differentiable function of t on [0 ,c] to reveal the non-uniqueness of the IFrPDE’s solution. Finally, an example is provided to expound the computation of the solution of the IFrPDS.
10 Mar 2023Submitted to Mathematical Methods in the Applied Sciences
11 Mar 2023Submission Checks Completed
11 Mar 2023Assigned to Editor
17 Mar 2023Review(s) Completed, Editorial Evaluation Pending
19 Mar 2023Reviewer(s) Assigned
11 Aug 2023Editorial Decision: Revise Minor
23 Sep 20231st Revision Received
25 Sep 2023Submission Checks Completed
25 Sep 2023Assigned to Editor
25 Sep 2023Review(s) Completed, Editorial Evaluation Pending
23 Oct 2023Reviewer(s) Assigned