A New Conformable Fractional-Order Time-Delay Grey Bernoulli Model with the Arithmetic Optimization Algorithm and Its Application in Rural Regional Economy

Table 10

The (APE (%)) of ten models in the case of the per capita consumption expenditure of rural residents.

Year	Data	CFTDNGBM	FDGM	FNDGM	FDGMP	FDGM (1, 1, t^α)	FGDGMP	WDGM	FTDGM	LSSVM	CFDGM (1, 1)
2003	2050.00	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	—	0.0000
2004	2326.00	0.0474	0.4090	0.1743	0.1378	0.1632	0.3268	0.1138	0.1713	—	0.0013
2005	2749.00	0.0158	1.3672	1.0618	0.0036	2.5642	0.0000	2.4248	2.4637	0.1639	1.7879
2006	3072.00	1.1610	1.2204	0.9263	0.8357	0.0025	0.2471	0.2814	0.4467	2.0071	0.8690
2007	3536.00	1.0507	0.2004	0.3735	1.1043	0.6958	1.0889	0.3799	0.0411	0.5074	0.0393
2008	4054.00	2.3043	0.7990	1.4474	2.1462	1.2676	1.8211	1.0142	0.6369	1.1574	0.9335
2009	4464.00	0.9036	2.0006	1.3883	1.0574	1.9487	1.3644	2.0810	2.3847	2.7293	1.9501
2010	4945.00	3.7364	4.0719	3.6011	3.7457	4.3754	3.8381	4.3577	4.4936	3.9798	4.0857
2011	5892.00	1.0173	1.4023	1.6343	1.1502	0.9114	1.2973	1.0493	1.1206	3.6623	1.3522
2012	6667.00	0.9238	1.7290	1.6954	1.1053	1.2121	1.3861	1.4069	1.6640	2.1640	1.6675
2013	7485.00	0.5418	1.3530	1.0135	0.6346	1.0120	0.8605	1.1677	1.5523	0.4015	1.3047
2014	8383.00	0.4566	0.7895	0.1084	0.3119	0.8524	0.2321	0.8436	1.2517	0.1246	0.7787
2015	9223.00	0.8657	1.5265	2.5974	1.3922	0.8019	2.0784	1.1290	0.8432	0.1667	1.4751
2016	10130.00	1.8386	4.0369	5.5398	2.8743	2.3616	4.5081	3.1897	3.2354	1.9045	3.8971
2017	10955.00	3.9081	8.2456	10.2503	5.5791	5.2658	8.5680	6.8225	7.4835	3.8322	7.9866
2018	12124.00	3.1195	10.0284	12.5310	5.4643	5.4784	10.1235	7.9554	9.5694	9.4253	9.6277
2019	13328.00	2.5858	12.5731	15.6235	5.6579	6.1020	12.3769	9.7420	12.7437	15.0777	12.0014
2020	13713.00	8.6108	23.0411	26.9243	12.6886	13.7161	22.4531	19.1040	24.3582	16.3948	22.2177
2021	15916.00	1.5667	19.2005	23.5057	6.1776	7.7439	18.2246	14.5132	22.0825	28.4196	18.1905