In this talk, we will present a development of the fractional Bicomplex calculus in the Riemann-Liouville sense based on the modification of the Cauchy-Riemann operator using the one dimensional derivative of the fractional calculus on each direction of the Bicomplex basis. We will introduce elementary functions such as analytic polynomials, exponential, trigonometric, and some properties of these. Furthermore, we present the second-order operator connected with the fractional Cauchy-Riemann operator.