The Applications of Natural Transform to the Analytical Solutions of Some Fractional Order Ordinary Differential Equations

Abstract

We introduce the applications of Natural transform method to find the analytical Solutions of some fractional order differential equations and also we introduce basic con- cepts of fractional calculus which is new approach to the analytical solution in this area. First we develop the general setting,then we turn to the applications of Natural transform method (NTM) to some interesting example of nonhomogeneous differential equations of arbitrary order.