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Lie symmetry analysis to Fisher’s equation with time fractional order
Zhenli Wang,Lihua Zhang,Hanze Liu
Keywords:Lie symmetry analysis; Time fractional Fisher’s equation; Riemann-Liouville derivative; Erdelyi-Kober operators; Explicit solutions
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.