文章基本信息

标题：Analytical treatment of two-dimensional fractional Helmholtz equations
本地全文：下载
作者：Salah Abuasad ; Khaled Moaddy ; Ishak Hashim 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2019
卷号：31
期号：4
页码：659-666
DOI：10.1016/j.jksus.2018.02.002
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we propose a semi numerical-analytical method, called Fractional Reduced Differential Transform Method (FRDTM), for finding exact and approximate solutions of fractional Helmholtz equation with appropriate initial conditions. The fractional derivatives are demonstrated in the Caputo sense. The solutions are given in the form of series with easily computable terms, then with the help of Mittag-Leffler function, we find the exact solutions of the fractional Helmholtz equations. Three examples are given to demonstrate the applicability of FRDTM.
关键词：Fractional calculus;Fractional reduced differential transform method;Caputo derivative;Helmholtz equation;Mittag-Leffler function