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Riemann-Liouville Fractional Operators of Bicomplex Order and Its Properties.
  • Mahesh Goswami,
  • Raj Kumar
Mahesh Goswami
Mohanlal Sukhadia University Department of Mathematics

Corresponding Author:[email protected]

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Raj Kumar
Mohanlal Sukhadia University Department of Mathematics
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Abstract

In this paper, we construct the Riemann-Liouville fractional integral and differential operator of bicomplex order and illustrate some examples to calculate the fractional integration and differentiation of bicomplex order of some elementary functions. Also, we discuss some properties of these operators by proving analogues of the Leibniz and chain rules for these operators.

Peer review status:Published

14 May 2021Submitted to Mathematical Methods in the Applied Sciences
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17 May 2021Submission Checks Completed
17 May 2021Assigned to Editor
22 May 2021Reviewer(s) Assigned
18 Jul 2021Review(s) Completed, Editorial Evaluation Pending
15 Aug 2021Editorial Decision: Revise Major
01 Sep 20211st Revision Received
01 Sep 2021Submission Checks Completed
01 Sep 2021Assigned to Editor
03 Sep 2021Reviewer(s) Assigned
07 Sep 2021Review(s) Completed, Editorial Evaluation Pending
02 Oct 2021Editorial Decision: Revise Minor
09 Oct 20212nd Revision Received
09 Oct 2021Submission Checks Completed
09 Oct 2021Assigned to Editor
28 Oct 2021Reviewer(s) Assigned
10 Jan 2022Review(s) Completed, Editorial Evaluation Pending
11 Jan 2022Editorial Decision: Accept
14 Feb 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8135