Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method

Table 1

Several approximate values and exact solutions for (36) and (37) when 𝛼=𝛽=1.

𝑥	𝑡	SolutionILTM	SolutionHPM	SolutionADM	Exact solution
0.25	0.1	0.0690729	0.0690729	0.0690729	0.0690732
	0.2	0.0763333	0.0763333	0.0763333	0.0763377
	0.4	0.0931667	0.0931667	0.0931667	0.093239
	0.8	0.137833	0.137833	0.137833	0.139096
0.5	0.1	0.276292	0.276292	0.276292	0.276293
	0.2	0.305333	0.305333	0.305333	0.305351
	0.4	0.372667	0.372667	0.372667	0.372956
	0.8	0.551333	0.551333	0.551333	0.556385
0.75	0.1	0.621656	0.621656	0.621656	0.621659
	0.2	0.687	0.687	0.687	0.687039
	0.4	8385	0.8385	0.8385	0.839151
	0.8	1.2405	1.2405	1.2405	1.25187