Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications

Abstract

In this thesis, we investigate the numerical solution of fractional differential equations subject to initial and boundary conditions. For the solution of such equations, we use two iterative approaches. First, we apply the Laplace Decomposition Method, which is a combination of two approaches, namely the Laplace Transform and the Adomian Decomposition Methods. Then, we implement the Differential Transformation Method. Finally, we apply the above mentioned methods to real life problems such as solving complex nonlinear Enzyme Inhibitor Reactions Model and a COVID-19 Model.