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A new fractional derivative operator and its application to diffusion equation
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  • Ruchi Sharma ,
  • Pranay Goswami,
  • RAVI DUBEY,
  • Fethi Belgacem
Ruchi Sharma
1School of Liberal Studies, Dr B R Ambedkar University Delhi-110006, India

Corresponding Author:ruchisharma881995@gmail.com

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Pranay Goswami
School of Liberal Studies, School of Liberal Studies, Ambedkar University Delhi-110006, India
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RAVI DUBEY
Amity University Rajasthan
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Fethi Belgacem
Public Authority for Applied Education
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Abstract

In this paper, we introduced a new fractional derivative operator based on Lonezo Hartely function, which is called G-function. With the help of the operator, we solved a fractional diffusion equations. Some applications related to the operator is also discussed as form of corollaries.

Peer review status:ACCEPTED

26 Nov 2021Submitted to Mathematical Methods in the Applied Sciences
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29 Nov 2021Submission Checks Completed
29 Nov 2021Assigned to Editor
09 Dec 2021Reviewer(s) Assigned
22 Dec 2021Review(s) Completed, Editorial Evaluation Pending
11 Jan 2022Editorial Decision: Revise Major
25 Jan 20221st Revision Received
28 Jan 2022Submission Checks Completed
28 Jan 2022Assigned to Editor
08 Feb 2022Reviewer(s) Assigned
16 Feb 2022Review(s) Completed, Editorial Evaluation Pending
22 Mar 2022Editorial Decision: Revise Major
01 Apr 20222nd Revision Received
07 Apr 2022Submission Checks Completed
07 Apr 2022Assigned to Editor
19 Apr 2022Reviewer(s) Assigned
27 Apr 2022Review(s) Completed, Editorial Evaluation Pending
06 May 2022Editorial Decision: Revise Minor
09 May 20223rd Revision Received
10 May 2022Submission Checks Completed
10 May 2022Assigned to Editor
17 Jun 2022Reviewer(s) Assigned
17 Jun 2022Review(s) Completed, Editorial Evaluation Pending
03 Sep 2022Editorial Decision: Revise Minor
08 Sep 20224th Revision Received
09 Sep 2022Submission Checks Completed
09 Sep 2022Assigned to Editor
08 Oct 2022Reviewer(s) Assigned
03 Nov 2022Review(s) Completed, Editorial Evaluation Pending
16 Mar 2023Editorial Decision: Revise Major
18 Mar 20235th Revision Received
25 Mar 2023Submission Checks Completed
25 Mar 2023Assigned to Editor
25 Mar 2023Review(s) Completed, Editorial Evaluation Pending
25 Mar 2023Reviewer(s) Assigned
23 May 2023Editorial Decision: Accept