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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


Puni tekst: engleski pdf 157 Kb

str. 1-11

preuzimanja: 840

citiraj


Sažetak

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.

Ključne riječi

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

Datum izdavanja:

4.4.2017.

Posjeta: 1.383 *