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Mathematical Communications, Vol. 22 No. 1, 2017.

Original scientific paper

Symmetry analysis of time-fractional potential Burgers' equation

Manoj Gaur orcid id orcid.org/0000-0002-4191-308X ; Department of Mathematics, Jaypee University of Information Technology Waknaghat, India
Karanjeet Singh ; Department of Mathematics, Jaypee University of Information Technology Waknaghat, India

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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 Erdélyi-Kober fractional derivative. Further, an analytic solution is furnished by means of the invariant
subspace method.

Keywords

Fractional differential equations; fractional Lie group method; Erdélyi-Kober fractional derivative; fractional integration; fractional invariant subspace method

Hrčak ID:

176695

URI

https://hrcak.srce.hr/176695

Publication date:

4.4.2017.

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