Analytical approximate solutions for nonlinear fractional differential equations

摘要

We consider a class of nonlinear fractional differential equations (FDEs) based on the Caputo fractional derivative and by extending the application of the Adomian decomposition method we derive an analytical solution in the form of a series with easily computable terms. For linear equations the method gives exact solution, and for nonlinear equations it provides an approximate solution with good accuracy. Several examples are discussed.