文章基本信息

标题：Fractional-order Riccati differential equation: Analytical approximation and numerical results
本地全文：下载
作者：Najeeb Alam Khan ; Asmat Ara ; Nadeem Alam Khan 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：2013
卷号：2013
期号：1
页码：185
DOI：10.1186/1687-1847-2013-185
语种：English
出版社：Hindawi Publishing Corporation
摘要：The aim of this article is to introduce the Laplace-Adomian-Padé method (LAPM) to the Riccati differential equation of fractional order. This method presents accurate and reliable results and has a great perfection in the Adomian decomposition method (ADM) truncated series solution which diverges promptly as the applicable domain increases. The approximate solutions are obtained in a broad range of the problem domain and are compared with the generalized Euler method (GEM). The comparison shows a precise agreement between the results, the applicable one of which needs fewer computations.
关键词：Adomian decomposition method (ADM) ; Mittag-Leffler function ; Padé approximation ; Riccati equation