同伦摄动法与几类分数阶积分微分方程的解

Homotopy Perturbation Method and Solutions of Some Fractional Order Integro-Differential Equations

运用同伦摄动法给出几类分数阶积分微分方程的近似解.结果表明,同伦摄动法可以简化复杂的求解过程,所得结果与用Adomian分解法、Fourier变换法等方法得到的结果相一致,进一步拓宽了同伦摄动法的应用范围.

In this paper,the approximate solutions of some fractional order integro-differential equations are presented by using the homotopy perturbation method.It indicates that the method is effective and simple in calculations,which can lead some solutions previously obtianed by the Adomian decomposition method and Fourier transformation method,etc.Therefore,this paper may be extended the application range of the homotopy perturbation method.