In this article, we discuss how to solve systems of nonlinear fractional partial differential equations (NFPDEs) by combining the Laplace transform & the reduced differential transform method, often known as the Laplace reduced differential transform with decompostion method (LRDTDM). It is generally considered how to deal with these concerns. In addition, systems of FPDEs of different orders may be solved using this method. The algorithm is Efficient and effective. The convergence and existence results for the suggested technique are presented. To illustrate the reliability and effectiveness of calculations made with mathematical software, numerical examples are utilized.