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The Homotopy Analysis Method to Solve Time Fractional Partial Differential Equations

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2 Author(s)
Xiurong Chen ; Dept. of Sci. & Inf., Qingdao Agric. Univ., Qingdao, China ; Wenshan Cui

In this letter, we apply the homotopy analysis method (HAM) to obtain analytical solutions of the time fractional Klein-Gordon equation with variable coefficients, where the fractional derivatives are Caputo sense. The applications of the HAM were extended to derive analytical solutions in the form of a series with easily computed terms for these generalized fractional equations. A example is given to show the efficiency of the method, and it is shown that the HAM in solving the time fractional Klein-Gordon equation can be very precision.

Published in:

Computer Science & Service System (CSSS), 2012 International Conference on

Date of Conference:

11-13 Aug. 2012