SOLVING SYSTEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING MULTISTAGE TELESCOPING DECOMPOSITION METHOD

In this paper, the multistage telescoping decomposition method is extended to derive approximate analytical solutions a system of nonlinear fractional differential equations. This method provides us with a simple way to adjust and control the convergence region of solution series by introducing the multistage strategy. This technique provides a sequence of functions which converges to the exact solution of the problem. The present method performs extremely well in terms of efficiency and simplicity. Some examples are solved as illustrations, using symbolic computation. The numerical results show that the approach is easy to implement and accurate when applied to systems of fractional differential equations.