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Application of homotopy-perturbation method to fractional IVPs
(
Elsevier
, 2008 , Article)
Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become ...
Homotopy analysis method for fractional IVPs
(
Elsevier
, 2007 , Article)
In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo’s sense. Exact and/or approximate analytical ...
The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system
(
Elsevier
, 2007 , Article)
In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding ...