Approximate solution for burgers equation with local fractional derivative by Yang-Laplace decomposition method

With the development of the fractional calculus theory, it has been found that many non-differentiable phenomena in real world can be described by using non-linear local fractional differential equations [1-7]. In most cases, the local fractional differential equations were applied to model problems in fractal mathematics and engineering. They have attracted lots of attention among scientists [8-15]. Finding non-differentiable solutions is the hot topics. But, in general, it is difficult to obtain an exact analytic solution for a non-linear local fractional differential equation. Some approximate methods have largely been used to handle these equations [16-20]. Recently, some useful techniques have been successfully applied to local fractional differential equations. The main techniques include the decomposition method and Yang-Laplace transform method with local fractional operator, see [1, 16-20]. In this paper, our aim is to use the local fractional Yang-Laplace decomposition method to solve the following non-linear local fractional Burgers equation: