Solving Three-Dimensional Conformable Partial Differential Equations Using the Quadruple Sumudu Transform Decomposition Method

In this work, we introduce the conformable quadruple Sumudu transform and employ it in conjunction with the Adomian decomposition method to solve three-dimensional linear and nonlinear conformable partial differential equations. We establish the existence of the proposed transform and present several of its fundamental properties. The combined approach is applied to three illustrative examples, and the obtained exact solutions agree with the corresponding solutions reported in the literature, demonstrating the applicability and effectiveness of the proposed method.