Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method

Fei Xu, Yixian Gao, Weipeng Zhang
2015 Advances in Mathematical Physics  
This paper is aimed at constructing analytical solution for both linear and nonlinear time-fractional Boussinesq equations by an iterative method. By the iterative process, we can obtain the analytic solution of the fourth-order time-fractional Boussinesq equation inR,R2, andRn, the sixth-order time-fractional Boussinesq equation, and the2nth-order time-fractional Boussinesq equation inR. Through these examples, it shows that the method is simple and effective.
doi:10.1155/2015/506140 fatcat:nbwm5nb2mjexnfp3bjfugt4f7u