Burgers equation is one of the basic and important non-linear partial differential equation including diffusive effects and non-linear propagation effects. In this study, the fractional order Bernoulli wavelets are adopted to acquire the approximate solution of one dimensional time- fractional Burger’s equation. For this purpose, the dervetive operational matrices of classic (non fractional) and fractional orders are made and employed to transform the nonlinear Burger equation into a nonlinear algebraic system, which is solved by Newton iterative method. For analyzing the effect of fractional order on the solutions, the problem (1)-(2) has been solved for some different values of 𝛼. To validate the proposed method, we have considered some illustrative examples and compared with the exact results.
