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Lie symmetry analysis to Fisher's equation with time fractional order
Authors:Zhenli Wang  Lihua Zhang  Hanze Liu
Affiliation:School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China;School of Mathematical Sciences, Dezhou University, Dezhou 253023, Shandong, China; School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China
Abstract:The aim of this letter is to apply the Lie group analysis method to the Fisher''s equation with time fractional order. We considered the symmetry analysis, explicit solutions to the time fractional Fisher''s(TFF) equations with Riemann-Liouville (R-L) derivative. The time fractional Fisher''s is reduced to respective nonlinear ordinary differential equation(ODE) of fractional order. We solve the reduced fractional ODE using an explicit power series method.
Keywords:Lie symmetry analysis   time fractional Fisher''s equation   Riemann-Liouville derivative   Erdelyi-Kober operators   explicit solutions.
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