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A numerical study on the non-smooth solutions of the nonlinear weakly singular fractional integro-differential equations
  • Sayed Arsalan Sajjadi,
  • Hashem Saberi Najafi,
  • Hossein Aminikhah
Sayed Arsalan Sajjadi
University of Guilan

Corresponding Author:[email protected]

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Hashem Saberi Najafi
Faculty of Mathematical Sciences, University of Guilan,P.O.Box 1914,Rasht,Iran
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Hossein Aminikhah
Univ Guilan
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Abstract

The solutions of weakly singular fractional integro-differential equations involving the Caputo derivative have singularity at the lower bound of the domain of integration. In this paper, we design an algorithm to prevail on this non-smooth behaviour of solutions of the nonlinear fractional integro-differential equations with a weakly singular kernel. The convergence of the proposed method is investigated. The proposed scheme is employed to solve four numerical examples in order to test its efficiency and accuracy.

Peer review status:ACCEPTED

06 Dec 2021Submitted to Mathematical Methods in the Applied Sciences
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07 Dec 2021Submission Checks Completed
07 Dec 2021Assigned to Editor
15 Dec 2021Reviewer(s) Assigned
28 Mar 2022Review(s) Completed, Editorial Evaluation Pending
20 Apr 2022Editorial Decision: Revise Minor
01 May 20221st Revision Received
02 May 2022Submission Checks Completed
02 May 2022Assigned to Editor
05 May 2022Reviewer(s) Assigned
11 Jul 2022Review(s) Completed, Editorial Evaluation Pending
14 Jul 2022Editorial Decision: Revise Minor
18 Jul 20222nd Revision Received
19 Jul 2022Submission Checks Completed
19 Jul 2022Assigned to Editor
20 Jul 2022Reviewer(s) Assigned
21 Jul 2022Review(s) Completed, Editorial Evaluation Pending
03 Sep 2022Editorial Decision: Accept