Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method

Table 1

Approximate values and exact solutions when 𝛼=1,𝛽=1 for (3.12).

𝑡	𝑥	solutionHPTM	solutionADM	solutionVIM	exact solution
0.06	0.25	0.066367	0.066367	0.066363	0.066365
	0.50	0.265468	0.265468	0.265450	0.265459
	0.75	0.597303	0.597303	0.597262	0.597283
	1.0	1.061970	1.061970	1.061800	1.061840
0.2	0.25	0.076417	0.076416	0.076250	0.076338
	0.50	0.305667	0.305667	0.305000	0.305351
	0.75	0.687750	0.687750	0.686250	0.687039
	1.0	1.222670	1.222670	1.220000	1.221400
0.4	0.25	0.093833	0.093833	0.092500	0.093239
	0.50	0.375330	0.375330	0.370000	0.372956
	0.75	0.844500	0.844500	0.832500	0.839151
	1.0	1.501330	1.501330	1.480000	1.491820