The Analytical Solution of Nonhomogeneous Fractional Ordinary Differential Equations by the Aboodh Transform Method

Benattia ME and Belghaba K

Published on: 2020-05-31

Abstract

In this paper, We introduce the rudiments of fractional computing and the consequent applications of the Aboodh transform on fractional derivatives. Once this connection is firmly established in the general context, we turn to the application of the Aboodh transformation method (ATM) to certain interesting non-homogeneous fractional ordinary differential equations (NHFODEs). The method used here is highly efficient, powerful, and confidential tool in terms of finding exact solutions.