Mohammad Zurigat, Solving Fractional Oscillators Using Laplace Homotopy Analysis Method, Annals of the University of Craiova, Mathematics and Computer Science Series, 38 (4) (2011), 1-11.

In this paper, we present an algorithm of the Laplace homotopy analysis method (LHAM) to obtain approximate solutions for linear and nonlinear oscillator fractional differ- ential equations. The proposed algorithm presents a procedure of constructing the set of base functions and gives the high-order deformation equation in a simple form. The method pro- vides the solution in the form of a rapidly convergent series. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method