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The purpose of this paper is to establish a Borel-Pompeiu type formulainduced from a fractional bicomplex $(\vartheta,\varphi)-$weightedCauchy-Riemann operator, where the weights are two hyperbolic orthogonalbicomplex functions and the fractionality is understand in theRiemann-Liouville sense.

A bicomplex $(\vartheta,\varphi)-$weighted fractional Borel-Pompeiu type formula