摘要
This article presents some important results of conformable fractional partial derivatives.The conformable triple Laplace and Sumudu transform are coupled with the Adomian decomposition method where a new method is proposed to solve nonlinear partial differential equations in 3-space.Moreover,mathematical experiments are provided to verify the performance of the proposed method.A fundamental question that is treated in this work:is whether using the Laplace and Sumudu transforms yield the same results?This question is amply answered in the realm of the proposed applications.