Approximation of Fractional Boundary Value Problems using Modified Adomian decomposition method

Abstract

In this mester thesis, we presented and analyzed the ADM method and it's modified MADM method, in order to obtain an approximation of the exact solution. We have found that this method gives an almost perfect approximation through the examples that we have provided in the last one. Key words : Fractional integro-differential equation, initial boundary value problems, Fractional calculus, Caputo fractional derivative, fixed point theorem ,modified Adomian decomposition method

Dans ce memoire, nous avons presente et analyse la methode ADM et sa methode MADM modifiee, afin d'obtenir une approximation de la solution exacte. Nous avons constate que cette methode donne une approximation presque parfaite a travers les exemples que nous avons fournis dans le dernier.