A study on the Abel differential equation of fractional order

机译：分数阶阿贝尔微分方程的研究

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In this paper, homotopy analysis method(HAM) is applied for solving the Abel differential equation with fractional order. The fractional derivative is described in the Caputo sense. Stability and convergence of the proposed approach is investigated. The numerical results demonstrates this approach is quite accurate and readily implemented.

机译：本文采用同伦分析方法（HAM）求解分数阶Abel微分方程。分数导数在Caputo的意义上进行了描述。研究了所提出方法的稳定性和收敛性。数值结果表明，该方法非常准确且易于实施。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-4|共4页
会议地点 Nanjing(CN)
作者
K. Sayevand; H. Jafari; H. Tajadodi;
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作者单位

Department of Mathematics, Faculty of Basic Sciences, Malayer University, Malayer, Iran;

Department of Mathematics, University of Mazandaran, Babolsar,Iran;

Department of Mathematics, University of Mazandaran, Babolsar,Iran;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Abel differential equation; Fractional derivative; Homotopy analysis method.;

机译：阿贝尔微分方程分数阶导数同伦分析法;

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A study on the Abel differential equation of fractional order

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