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

Published: 1 January 2014| Version 1 | DOI: 10.17632/5cffwxxv7t.1
G.F. Jefferson,
John Carminati


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)



Computational Physics, Computational Method