An Iterative method for solving fractional differential equations

Abstract

In the present paper non‐linear, time fractional advection partial differential equation has been solved using the new iterative method presented by Daftardar‐Gejji and Jafari [1]. The results are compared with those obtained by Adomian decomposition and Homotopy perturbation methods. It is demonstrated that the new iterative method gives the best approximation among these. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)