Original scientific paper
Symmetry analysis of time-fractional potential Burgers' equation
Manoj Gaur
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
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
Publication date:
4.4.2017.
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