Davey-Stewartson Equation with Fractional Coordinate Derivatives

Abstract EN

We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equationsof fractional order.

The fractional derivative is described in the Caputo sense.

The results obtained by this method havebeen compared with the exact solutions.

Stability and convergence of the proposed approach is investigated.

The effects offractional derivatives for the systems under consideration are discussed.

Furthermore, comparisons indicate that there is a very good agreement between the solutions of homotopy analysis method and the exact solutions in terms of accuracy.