Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives

Abstract EN

The analytical solution of the foam drainage equation with time- and space-fractional derivatives was derived by means of the homotopy analysis method (HAM).

The fractional derivatives are described in the Caputo sense.

Some examples are given and comparisons are made; the comparisons show that the homotopy analysis method is very effective and convenient.

By choosing different values of the parameters α,β in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained.