Analytical Approximate Solution of the Fractional Order Biological Population Model by Using Natural Transform

Table 1

Comparison of the different values of and the absolute error of the 6^th order NTIM solution with the 6^th order MGTFSM solution for Problem 7.

						Exact	NTIM error	Error [18]
0.1	0.1	0.778064	0.6135	0.492898	0.110517	0.110517
	0.3	0.778064	0.6135	0.492898	0.134986	0.134986
	0.5	0.778064	0.6135	0.492898	0.164872	0.164872
	0.7	0.778064	0.6135	0.492898	0.201373	0.201375
	0.9	0.778064	0.6135	0.492898	0.24595	0.24596
0.3	0.1	2.33419	1.8405	1.47869	0.331551	0.331551
	0.3	2.33419	1.8405	1.47869	0.404958	0.404958
	0.5	2.33419	1.8405	1.47869	0.494616	0.494616
	0.7	2.33419	1.8405	1.47869	0.60412	0.604126
	0.9	2.33419	1.8405	1.47869	0.737849	0.737881
0.5	0.1	3.89032	3.0675	2.46449	0.552585	0.552585
	0.3	3.89032	3.0675	2.46449	0.674929	0.674929
	0.5	3.89032	3.0675	2.46449	0.82436	0.824361
	0.7	3.89032	3.0675	2.46449	1.00687	1.00688
	0.9	3.89032	3.0675	2.46449	1.22975	1.2298