FracSym: Automated symbolic computation of Lie symmetries of fractional differential equations

Abstract
In this paper, we present an algorithm for the systematic calculation of Lie point symmetries for fractional order differential equations (FDEs) using the method as described by Buckwar & Luchko (1998) and Gazizov, Kasatkin & Lukashchuk (2007, 2009, 2011). The method has been generalised here to allow for the determination of symmetries for FDEs with n independent variables and for systems of partial FDEs. The algorithm has been implemented in the new MAPLE package FracSym (Jefferson and Ca...

Title of program: FracSym
Catalogue Id: AERA_v1_0

Nature of problem
Determination of the Lie point symmetries of fractional differential equations (FDEs).

Versions of this program held in the CPC repository in Mendeley Data
AERA_v1_0; FracSym; 10.1016/j.cpc.2013.09.019

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要 本文中，我们提出了一种基于 Buckwar 与 Luchko (1998) 以及 Gazizov、Kasatkin 与 Lukashchuk (2007, 2009, 2011) 所描述的方法，对分数阶微分方程（FDEs）的 Lie 点对称性进行系统计算的算法。该方法在此处被推广，以实现对于具有 n 个独立变量的 FDEs 以及分数阶偏微分方程组的对称性的确定。该算法已在新版的 MAPLE 软件包 FracSym (Jefferson 和 Ca...) 中实现。程序名称：FracSym
目录编号：AERA_v1_0
问题性质 确定分数微分方程（FDEs）的 Lie 点对称性。
CPC 数据库中 Mendeley Data 存储的该程序版本 AERA_v1_0; FracSym; 10.1016/j.cpc.2013.09.019
本程序已从贝尔法斯特女王大学所持有的 CPC 程序库中导入（1969-2019）。