A bicomplex (ϑ,φ)-weighted fractional Borel-Pompeiu type formula

Abstract

The purpose of this paper is to establish a Borel-Pompeiu type formula induced from a fractional bicomplex (ϑ,φ)-weighted Cauchy-Riemann operator, where the weights are two hyperbolic orthogonal bicomplex functions and the fractionality is understood in the sense of Riemann-Liouville and Caputo approaches.