loading page

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

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:UNDER REVIEW

14 May 2021Submitted to Mathematical Methods in the Applied Sciences
17 May 2021Assigned to Editor
17 May 2021Submission Checks Completed
22 May 2021Reviewer(s) Assigned