A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method

Table 1

The absolute errors for case A in Example 1.

		= 0.5	= 0.75	= 1	= 0.5	= 0.75	= 1
		= 1.5	= 1.75	= 2	= 1.5	= 1.75	= 2
0.3	0.2	0.68841	0.03769	0.00004	0.81871	0.04127	0.00031
	0.4	0.27514	0.01312	0.00004	0.37117	0.00200	0.00029
	0.6	0.08483	0.04706	0.00003	0.16617	0.03354	0.00026
	0.8	0.03374	0.07006	0.00003	0.03721	0.05572	0.00022
0.6	0.2	1.02204	0.10261	0.00044	1.16631	0.08697	0.00472
	0.4	0.55654	0.06402	0.00041	0.67960	0.07240	0.00443
	0.6	0.33977	0.02800	0.00037	0.45762	0.04762	0.00397
	0.8	0.19646	0.00200	0.00031	0.31112	0.02465	0.00335
0.9	0.2	1.21882	0.11304	0.00636	1.34963	0.05854	0.02261
	0.4	0.76521	0.12078	0.00598	0.89617	0.11277	0.02125
	0.6	0.55660	0.10408	0.00536	0.69660	0.12060	0.01904
	0.8	0.41428	0.08328	0.00452	0.56229	0.11704	0.01607