An effective analytic approach for solving nonlinear fractional partial differential equations

Nonlinear fractional differential equations are widely used for modelling problems in applied mathematics. A new analytic approach with two parameters c(1) and c(2) is first proposed for solving nonlinear fractional partial differential equations. These parameters are used to improve the accuracy of the resulting series approximations. It turns out that much more accurate series approximations are obtained by choosing proper values of c1 and c2. To demonstrate the applicability and effectiveness of the new method, two typical fractional partial differential equations, the nonlinear gas dynamics equation and the nonlinear KdV-Burgers equation, are solved.