文章基本信息

标题：An optimal method for approximating the delay differential equations of noninteger order
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作者：Dumitru Baleanu ; Bahram Agheli ; Rahmat Darzi 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：2018
卷号：2018
期号：1
页码：284
DOI：10.1186/s13662-018-1717-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：The main purpose of this paper is to use a method with a free parameter, named the optimal asymptotic homotopy method (OHAM), in order to obtain the solution of delay differential equations, delay partial differential equations, and a system of coupled delay equations featuring fractional derivative. This method is preferable to others since it has faster convergence toward homotopy perturbation method, and the convergence rate can be set as a controlled area. Various examples are given to better understand the use of this method. The approximate solutions are compared with exact solutions as well.
关键词：Delay differential equations ; Optimal homotopy asymptotic ; Caputo derivative