S Mockary - Shahr-e-Rey Branch, Islamic Azad University, Department of Mathematics
E Babolian - Shahr-e-Rey Branch, Islamic Azad University, Department of Mathematics
A.R Vahidi - Shahr-e-Rey Branch, Islamic Azad University, Department of Mathematics
B Shiri - University of Tabriz, Faculty of Mathematical Science

The fractional Fisher s equation can be used for anomalous population, such as ananomalous population of human, trees, cells or neutrons in a nuclear reactor. In thispaper, we use collocation method based on Chebyshev polynomials to solve nonlinearfractional Fisher s equation. To this end, we obtain a system of nonlinear equationswhich can be solved by Newton s method. Numerical examples show the e ciency ande ectiveness of the method. Like other spectral methods we observe that the approxima-tion is exact for solutions of polynomial types.

Chebyshev collocation method, Nonlinear fractional partial di erentialequations, Di usion equation, Fisher s equation