Variational theory for (2+1)-dimensional fractional dispersive long wave equations

This paper extends the (2+1)-dimensional Eckhaus-type dispersive long wave equations in continuous medium to their fractional partner, which is a model of non-linear waves fractal porous media. The derivation shown briefly using He?s derivative. Using semi-inverse method, variational principles are established for system, up now not discovered. obtained proved correct by minimizing functional with calculus variations, and might find potential applications numerical modeling.