Numerical solution of the fractional-order Vallis systems using multi-step differential transformation method

Abstract

In this paper, we examine a fractional order Vallis systems. We also fulfil a detailed analysis on the stability of equilibrium. Multi-step differential transform method (MsDTM) extends to give approximate and analytical solutions of a fractional order Vallis systems. Numerical simulations are submitted to verify the validity and reliability results obtained from these methods. (C) 2012 Elsevier Inc. All rights reserved.