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The Homotopy Analysis Method to Solve Time Fractional Partial Differential Equations

机译:时间分数阶偏微分方程的同伦分析方法

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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.
机译:在这封信中,我们应用同伦分析方法(HAM)获得具有可变系数的时间分数Klein-Gordon方程的解析解,其中分数导数是Caputo感。扩展了HAM的应用程序,以得出具有易于计算的广义分数方程项的级数形式的解析解。举例说明了该方法的有效性,证明了HAM在求解时间分数Klein-Gordon方程中的精度很高。

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