Reduced Differential Transform Method for Fractional Order Airy’s Type Partial Differential Equations

Abstract

In this paper, we use Reduced Differential Transform Method (RDTM) to compute analytical and semi analytic 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 reliability, effectiveness, efficiency, and strengthening of computed mathematical results in order to easily solve fractional order Airy’s type differential equations