A New Study for the Investigation of Nonlinear Fractional Drinfeld–Sokolov–Wilson Equation

Table 1

The comparison of approximate solutions of Equation (43) and exact solutions of Equation (44) for different fractional order.

				Approximate solution at	Exact solution
0.01	−4	0.00285071	0.00351788	0.00386526	0.00286522
	−3	0.0209706	0.0258956	0.0284434	0.0284431
	−2	0.150047	0.186111	0.203931	0.203929
	−1	0.901424	1.13347	1.22191	1.22192
	0	2.76	2.98195	2.9988	2.9988
0.02	−4	0.00274148	0.003229	0.00371409	0.00371375
	−3	0.0201301	0.237737	0.0273353	0.0273329
	−2	0.142165	0.171108	0.196213	0.196199
	−1	0.796625	1.05369	1.18465	1.18467
	0	2.52	2.94894	2.9952	2.99521