Modeling of Macroeconomics by a Novel Discrete Nonlinear Fractional Dynamical System

Table 2

The estimation results of parameters in model (12) with ℎ=0.75.

𝐴1	𝐷^𝑞1𝑡𝑥1(𝑡)		𝐴2	𝐷^𝑞2𝑡𝑥2(𝑡)		𝐴3	𝐷^𝑞3𝑡𝑥3(𝑡)
	L	NL		L	NL		L	NL
𝑐1	−0.0049	−0.0737	𝑐2	0.0016	−0.0398	𝑐3	0.0211	0.0739
𝑎11	−0.6154	0.9826	𝑎21	0.1519	1.2096	𝑎31	−0.2533	−1.3900
𝑎12	−0.2157	−0.5897	𝑎22	−0.4193	0.4967	𝑎32	0.1194	−0.1148
𝑎13	0.4718	2.1016	𝑎23	0.1013	0.4569	𝑎33	−0.2878	−1.3118
𝑎14		−16.428	𝑎24		−2.6967	𝑎34		7.2346
𝑎15		4.6169	𝑎25		−18.219	𝑎35		4.3997
𝑎16		−16.030	𝑎26		−8.9561	𝑎36		10.080
𝑎17		4.6446	𝑎27		−4.8169	𝑎37		2.7619
𝑎18		1.2087	𝑎28		3.5948	𝑎38		−1.0387
𝑎19		−9.8971	𝑎29		3.6173	𝑎39		3.9917
SSR	8.9𝑒−3	5.6𝑒−3	SSR	3.1𝑒−3	1.8𝑒−3	SSR	1.5𝑒−3	8.9𝑒−4
𝑅^2	0.4955	0.6803	𝑅^2	0.5615	0.7399	𝑅^2	0.4705	0.6918