• Mayur Vijay Solanki
• Jayshree Patil

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 reliability, effectiveness, efficiency, and strengthening of computed mathematical results in order to easily solve fractional order Airy’s type differential equations.

Reduced Differential Transform Method, Airy’s fractional order Partial differential equations, Series solutions

"Solution of the Fractional Order Airy’s Type Partial Differential Equations by using Reduced Differential Transform Method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 6, page no.d265-d270, June-2024, Available :http://www.jetir.org/papers/JETIR2406332.pdf

"Solution of the Fractional Order Airy’s Type Partial Differential Equations by using Reduced Differential Transform Method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 6, page no. ppd265-d270, June-2024, Available at : http://www.jetir.org/papers/JETIR2406332.pdf