| 同伦摄动法与几类分数阶积分微分方程的解 |
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| 引用本文： | 周玉鼎,斯仁道尔吉.同伦摄动法与几类分数阶积分微分方程的解[J].内蒙古师范大学学报(自然科学版),2010,39(1):30-34,39. |
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| 作者姓名： | 周玉鼎 斯仁道尔吉 |
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| 作者单位： | 内蒙古师范大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10461006);;内蒙古自然科学基金资助项目(200408020103) |
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| 摘 要： | 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.
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| 关 键 词： | 分数阶 积分微分方程 同伦摄动法 |
Homotopy Perturbation Method and Solutions of Some Fractional Order Integro-Differential Equations |
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| ZHOU Yu-ding,Sirendaoreji.Homotopy Perturbation Method and Solutions of Some Fractional Order Integro-Differential Equations[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2010,39(1):30-34,39. |
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| Authors: | ZHOU Yu-ding Sirendaoreji |
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| Institution: | College of Mathematics Science;Inner Mongolia Normal University;Hohhot 010022;China |
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| Abstract: | 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. |
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| Keywords: | fractional order integro-differential equations homotopy perturbation method |
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