Research Article

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

Table 8

The prediction results of ten models in the case of the per capita consumption expenditure of rural residents.

YearDataCFTDNGBMFDGMFNDGMFDGMPFDGM (1, 1, tα)FGDGMPWDGMFTDGMLSSVMCFDGM (1, 1)

20032050.002050.002050.002050.002050.002050.002050.002050.002050.002050.00
20042326.002324.902335.512330.062329.212322.202333.602323.352329.982326.03
20052749.002748.562711.422719.812749.102678.512749.002682.342681.272753.512699.85
20063072.003107.673109.493100.463097.673072.083079.593080.643085.723133.663098.70
20073536.003498.853543.093522.793496.953511.403497.503522.573534.553553.943534.61
20084054.003960.584021.613995.323966.994002.613980.174012.884028.184007.084016.16
20094464.004504.344553.314525.984511.204550.994524.914556.904570.454585.834551.05
20104945.005129.765146.365123.085130.225161.365134.805160.495167.215141.805147.04
20115892.005832.065809.385795.715824.235838.305815.565830.185825.985676.225812.33
20126667.006605.416551.736553.976593.316586.196574.596573.206556.066522.726555.83
20137485.007444.447383.727409.147437.507409.257420.597397.607368.817515.057387.34
20148383.008344.738316.818373.918356.858311.548363.548312.288278.078372.568317.72
20159223.009302.849363.799462.569351.409296.969414.699327.139300.779207.639359.05
201610130.0010316.2510538.9410691.1810421.1710369.2310586.6710453.1110457.759937.0810524.78
201710955.0011383.1311858.3012077.9211566.1911531.8711893.6211702.4111774.8110535.1811829.93
201812124.0012502.2113339.8413643.2612786.4912788.2013351.3813088.5113284.2010981.2713291.27
201913328.0013672.6315003.7415410.3014082.0914141.2814977.5914626.4115026.4811318.4514927.54
202013713.0014893.8016872.6317405.1215452.9915593.8916791.9916332.7317053.2411464.7816759.71
202115916.0016165.3618971.9519657.1716899.2317148.5118816.6218225.9219430.6511392.7318811.20