Abstract: In this paper, the Adomian decomposition method is used to obtain an approximate analytical solution to the time fractional Klein-Gordon equation, where the fractional derivatives are in Caputo sense. Some examples are given to show the efficiency of the method, the approximate solution and exact solution of the error are given by four tables, and it is shown that the Adomian decomposition method in solving the time fractional Klein-Gordon equation can be very high precision.
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Received: 17 November 2008
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