In 2022, the author developed a new combination method to solve temporal fractional reaction–diffusion–convection equation in the sense of the Caputo fractional derivative [13]. The motivation of this chapter is to propose a new algorithm to solve the same equation but involving a conformable fractional derivative. This algorithm is called the conformable fractional Taylor series algorithm (CFTSA). Three numerical examples of temporal fractional reaction–diffusion–convection equation were used to validate the proposed algorithm. The advantage of CFTSA is that it can be used directly to solve nonlinear conformable fractional partial differential equations without being linearized, discretized, or perturbation. In addition, this algorithm provides lower computing cost and faster convergence rate. As a result, we confirm that in the future, the current algorithm can be applied to several nonlinear conformable fractional problems.