| Volume 10, Number 5, 2020, Pages 2058-2067 DOI：10.11948/20190323 |
| 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. |
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