Approximate Solutions of Fractional Linear and Nonlinear Differential Equations Using Laplace Homotopy Analysis Method

نویسندگان

  • V. G. Gupta
  • Pramod Kumar
چکیده

In this paper, a Laplace homotopy analysis method which is based on homotopy analysis method and Laplace transform is applied to obtain the approximate solutions of fractional linear and non-linear differential equations. The proposed algorithm presents a procedure of constructing the set of base functions and gives a high-order deformation equation in simple form. Numerical examples are included to illustrate preciseness and effectiveness of the proposed method.

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تاریخ انتشار 2015