Modeling of Macroeconomics by a Novel Discrete Nonlinear Fractional Dynamical System

Table 3

The estimation results of parameters in model (12) with ℎ=0.85.

𝐴1	𝐷^𝑞1𝑡𝑥1(𝑡)		𝐴2	𝐷^𝑞2𝑡𝑥2(𝑡)		𝐴3	𝐷^𝑞3𝑡𝑥3(𝑡)
	L	NL		L	NL		L	NL
𝑐1	−0.0048	−0.0714	𝑐2	0.0016	−0.0386	𝑐3	0.0204	0.0716
𝑎11	−0.5962	0.9521	𝑎21	0.1472	1.1721	𝑎31	−0.2454	−1.3468
𝑎12	−0.2090	−0.5714	𝑎22	−0.4063	0.4813	𝑎32	0.1157	−0.1113
𝑎13	0.4572	2.0364	𝑎23	0.0981	0.4427	𝑎33	−0.2789	−1.2711
𝑎14		−15.918	𝑎24		−2.6130	𝑎34		7.0099
𝑎15		4.4736	𝑎25		−17.653	𝑎35		4.2631
𝑎16		−15.532	𝑎26		−8.6779	𝑎36		9.7671
𝑎17		4.5004	𝑎27		−4.6673	𝑎37		2.6761
𝑎18		1.1712	𝑎28		3.4831	𝑎38		−1.0065
𝑎19		−9.5897	𝑎29		3.5050	𝑎39		3.8677
SSR	8.3𝑒−3	5.3𝑒−3	SSR	2.9𝑒−3	1.7𝑒−3	SSR	1.4𝑒−3	8.3𝑒−4
𝑅^2	0.4955	0.6803	𝑅^2	0.5615	0.7399	𝑅^2	0.4705	0.6918