文章基本信息

标题：Modified fractional decomposition method having integral w.r.t ( d ξ ) α
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作者：Yasir Khan ; Yasir Khan ; Naeem Faraz 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2011
卷号：23
期号：2
页码：157-161
DOI：10.1016/j.jksus.2010.06.024
语种：English
出版社：Elsevier
摘要：Abstract In this paper, a novel analytical method is proposed for differential equations with time-fractional derivative. This method is based on the famous Adomian decomposition method and the modified Riemann-Liouville derivative. The fractional derivatives are considered in the Jumarie sense. However, all the previous works avoid the term of fractional derivative and handle them as a restricted variation. In order to overcome this shortcoming, a fractional decomposition method is proposed with modified Riemann-Liouville derivative. This method is a more efficient approach to solve the fractional differential equations. Several illustrative examples are given to demonstrate the effectiveness of the present method.
关键词：Modified Riemann-Liouville derivative; Modified fractional decomposition method; Mittag-Leffler function;