Homotopy analysis method for nonlinear differential equations with fractional orders

Abstract

The aim of this paper is to solve nonlinear differential equations with fractional derivatives by the homotopy analysis method. The fractional derivative is described in Caputo's sense. It shows that the homotopy analysis method not only is efficient for classical differential equations, but also is a powerful tool for dealing with nonlinear differential equations with fractional derivatives. © 2008 Verlag der Zeitschrift für Naturforschung, Tübingen.