Homotopy analysis method for solving fractional Lorenz system

In this paper, a new reliable algorithm called the step homotopy analysis method (SHAM) based on an adaptation of the standard homotopy-analysis method (HAM) is presented to solve the fractional Lorenz system. This modified method yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The accuracy of the present solution is found to be in excellent agreement with previously published solution.