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, J. 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