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

DOI10.1016/J.CPC.2013.09.019zbMath1344.35003OpenAlexW2049725580MaRDI QIDQ313910

G. F. Jefferson, John Carminati

Publication date: 12 September 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.09.019

zbMATH Keywords

symbolic computationfractional differential equationsinvariant solutionsLie symmetry method

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to partial differential equations (35-04) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (39)

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Uses Software

• Unnamed Item
• DESOLVII
• ADMP
• ASP
• FracSym

Cites Work

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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on fractional order derivatives and table of fractional derivatives of some special functions
• Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
• New general solutions to the Abel equation of the second kind using functional transformations
• ASP: automated symbolic computation of approximate symmetries of differential equations
• Homotopy perturbation method for nonlinear partial differential equations of fractional order
• Symbolic computation of analytic approximate solutions for nonlinear fractional differential equations
• Homotopy analysis method for solving foam drainage equation with space- and time-fractional derivatives
• Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Application of variational iteration method to nonlinear differential equations of fractional order
• Finding higher symmetries of differential equations using the MAPLE package DESOLVII
• Similarity Solutions of a Generalized Burgers Equation
• Generalized Burgers equations and Euler–Painlevé transcendents. III
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Solving nonlinear fractional partial differential equations using the homotopy analysis method
• Group-Invariant Solutions of Fractional Differential Equations
• Symmetries and differential equations

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