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arxiv: 1011.3692 · v1 · pith:SPEAPVTHnew · submitted 2010-11-16 · 🧮 math-ph · math.GR· math.MP· nlin.SI

Lie group classifications and exact solutions for time-fractional Burgers equation

classification 🧮 math-ph math.GRmath.MPnlin.SI
keywords groupmethodburgersdifferentialequationequationsexactfractional
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Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations. A time-fractional Burgers equation is used as an example to illustrate the effectiveness of the Lie group method and some classes of exact solutions are obtained.

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