Research Article

Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform Method

Table 1

Comparison study for solution of (42) for , when and . by various methods.

HPSTM ADM (see [20]) EXACT (see [20])

0.2 0.25 0.076333 0.076333 0.076338
0.2 0.50 0.305333 0.305333 0.305351
0.2 0.75 0.687000 0.687000 0.687039
0.2 1.00 1.221333 1.221333 1.221403
0.4 0.25 0.093167 0.093167 0.093239
0.4 0.50 0.372667 0.372667 0.372956
0.4 0.75 0.838500 0.838500 0.839151
0.4 1.00 1.490667 1.490667 1.491825
0.6 0.25 0.113500 0.113500 0.113882
0.6 0.50 0.454000 0.454000 0.455530
0.6 0.75 1.021500 1.021500 1.024942
0.6 1.00 1.816000 1.816000 1.822119