Symmetry analysis of time fractional-potential Burgers' equation

Manoj Gaur; Karanjeet Singh

Vol. 22 No. 1 (2017)

Regular Articles

Symmetry analysis of time fractional-potential Burgers' equation

Published 2016-06-26

Manoj Gaur
Karanjeet Singh

Manoj Gaur
Jaypee University of Information Technology

Karanjeet Singh
Jaypee University of Information Technology

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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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Author Biography

Manoj Gaur

Mathematics

Karanjeet Singh

Mathematics