Solution of the Fractional Order Airy’s Partial Differential Equations by using Reduced Differential Transform Method

Abstract

In this paper, we use Reduced Differential Transform Method (RDTM) to compute analytical and semi analytical approximate solutions of fractional order Airy’s ordinary differential equations and fractional order Airy’s and Airy’s type partial differential equations subjected to certain initial boundary conditions. We compare the  solutions obtain by RDTM with exact solutions . we find out convergent series solutions by taking different fractional values. RDTM gives series solutions easily by dropping calculus work and computed mathematical results in order to easily solve fractional order Airy’s type differential equations.