The Laplace-Adomian Decomposition Method for Solving Nonlinear Fractional Partial Differential Equations

Abstract

This paper presents the Laplace-Adomian Decomposition Method (LADM) for solving nonlinear fractional partial differential equations involving the Atangana-Baleanu-Caputo derivative operator. The method combines the Laplace transform with the Adomian decomposition technique to obtain approximate solutions. Convergence and uniqueness analysis are established. Several examples demonstrate the efficiency and accuracy of the proposed method.