Adomian’s Decomposition of Multi-Order Fractional Differential Equations

Adomian's Decomposition Method (ADM) was introduced about three decades ago, it has proven to be efficient, reliable and easy to compute the solutions of non-linear and linear differential equations. It can also be used to compute various types of equations such as Boundary value problems, Integral equations, Equations arising in fluid flow e.t.c. This thesis work presents the derivation of Adomian's decomposition algorithms and the possible solution of fractional differential equations of the multi-order type in the Caputo sense. It consist of four chapters, Chapter 1 contains a brief introduction of Adomian's Decomposition Method(ADM) and definitions, while the second chapter deals with basis proofs and methodology with respect to Adomian's Decomposition Method(ADM). In Chapter 3, we applied the method of solution to multi-order fractional differential equations. We then discuss the results and make conclusion in Chapter 4.