Multi-step fractional differential transform method for the solution of fractional order stiff systems☆

Abstract

In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense. Several numerical experiments are carried out to illustrate the feasibility of MSFDTM as an approximate analytical solution technique for stiff systems of fractional order.

Keywords

• Stiff systems of fractional order
• Multi-step fractional differential transform method
• Differential transform method