文章基本信息

标题：On Efficient Method for System of Fractional Differential Equations
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作者：Najeeb Alam Khan ; Muhammad Jamil ; Asmat Ara 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：303472
DOI：10.1155/2011/303472
语种：English
出版社：Hindawi Publishing Corporation
摘要：The present study introduces a new version of homotopy perturbation method for the solution of system of fractional-order differential equations. In this approach, the solution is considered as a Taylor series expansion that converges rapidly to the nonlinear problem. The systems include fractional-order stiff system, the fractional-order Genesio system, and the fractional-order matrix Riccati-type differential equation. The new approximate analytical procedure depends only on two components. Comparing the methodology with some known techniques shows that the present method is relatively easy, less computational, and highly accurate.
关键词：Fractional Derivative ; Fractional Calculus ; Fractional Differential Equation ; Inverse Operator ; Homotopy Perturbation Method