Symmetry analysis of time fractional-potential Burgers' equation

Manoj Gaur, Karanjeet Singh

Abstract


Lie point symmetries of time fractional potential Burgers' equation are presented. Using these symmetries fractional potential Burgers' equation has been transformed into an ordinary differential equation of fractional order corresponding to the Erdelyi-Koberfractional derivative. Further an analytic solution is furnished by means of the invariant subspace method.

Keywords


Fractional Dierential Equations, Fractional Lie Group Method, Erdelyi- Kober fractional derivative, Fractional Integration, Fractional Invariant Subspace method

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ISSN: 1331-0623 (Print), 1848-8013 (Online)