The Adomian Decomposition Method for Solving a Class of Fractional Differential Equations

This monograph is devoted to the study of the Adomian Decomposition Method (ADM) and its application to a class of fractional differential equations. The work is organised around five chapters, each addressing a distinct aspect of the theory and practice of the method. The fractional calculus has become, over the last three decades, an indispensable tool for modelling phenomena that exhibit memory and hereditary properties, such as anomalous diffusion, viscoelasticity, signal processing, and biological systems. The Adomian Decomposition Method offers a powerful analytical-numerical framework for solving such equations without linearisation, discretisation, or perturbation.