A novel fractional time delayed grey model with Grey Wolf Optimizer and its applications in forecasting the natural gas and coal consumption in Chongqing China

Xie, 2017, A historic review of grey forecasting models, J Grey Syst, 29, 1 Wang, 2018, Modeling the nonlinear flow for a multiple-fractured horizontal well with multiple finite-conductivity fractures in triple media carbonate reservoir, J Porous Media, 21, 1283 Fan, 2019, Evaluation and development of empirical models for estimating daily and monthly mean daily diffuse horizontal solar radiation for different climatic regions of China, Renew Sustain Energy Rev, 105, 168, 10.1016/j.rser.2019.01.040 Fan, 2019, Empirical and machine learning models for predicting daily global solar radiation from sunshine duration: a review and case study in China, Renew Sustain Energy Rev, 100, 186, 10.1016/j.rser.2018.10.018 Du, 2019, A novel hybrid model for short-term wind power forecasting, Appl Soft Comput, 80, 93, 10.1016/j.asoc.2019.03.035 Yang, 2019, Hybrid wind energy forecasting and analysis system based on divide and conquer scheme: a case study in China, J Clean Prod, 222, 942, 10.1016/j.jclepro.2019.03.036 Wu, 2019, Potential of kernel-based nonlinear extension of Arps decline model and gradient boosting with categorical features support for predicting daily global solar radiation in humid regions, Energy Convers Manag, 183, 280, 10.1016/j.enconman.2018.12.103 Wang, 2018, Forecasting U.S. shale gas monthly production using a hybrid ARIMA and metabolic nonlinear grey model, Energy, 160, 378, 10.1016/j.energy.2018.07.047 Zeng, 2016, Forecasting the natural gas demand in China using a self-adapting intelligent grey model, Energy, 112, 810, 10.1016/j.energy.2016.06.090 Ding, 2018, A novel self-adapting intelligent grey model for forecasting China's natural-gas demand, Energy, 162, 393, 10.1016/j.energy.2018.08.040 Zeng, 2018, Forecasting the output of shale gas in China using an unbiased grey model and weakening buffer operator, Energy, 151, 238, 10.1016/j.energy.2018.03.045 Meng, 2018, Prediction of chinas sulfur dioxide emissions by discrete grey model with fractional order generation operators, Complexity, 2018, 1 Ding, 2018, Forecasting China's electricity consumption using a new grey prediction model, Energy, 149, 314, 10.1016/j.energy.2018.01.169 Ma, 2019, Application of a novel nonlinear multivariate grey Bernoulli model to predict the tourist income of China, J Comput Appl Math, 347, 84, 10.1016/j.cam.2018.07.044 Ding, 2019, A novel discrete grey multivariable model and its application in forecasting the output value of China's high-tech industries, Comput Ind Eng, 127, 749, 10.1016/j.cie.2018.11.016 Zeng, 2018, Improved multi-variable grey forecasting model with a dynamic background-value coefficient and its application, Comput Ind Eng, 118, 278, 10.1016/j.cie.2018.02.042 Ma, 2019, A brief introduction to the grey machine learning, J Grey Syst, 31, 1 Ma, 2018, The kernel-based nonlinear multivariate grey model, Appl Math Model, 56, 217, 10.1016/j.apm.2017.12.010 Wu, 2013, Grey system model with the fractional order accumulation, Commun Nonlinear Sci Numer Simul, 18, 1775, 10.1016/j.cnsns.2012.11.017 Zeng, 2018, Forecasting the electricity consumption of commercial sector in Hong Kong using a novel grey dynamic prediction model, J Grey Syst, 30, 159 Wu, 2019, Using FGM(1,1) model to predict the number of the lightly polluted day in Jing-Jin-Ji region of China, Atmos Pollut Res Duan, 2018, Forecasting crude oil consumption in China using a grey prediction model with an optimal fractional-order accumulating operator, Complexity, 2018, 1, 10.1155/2018/3869619 Wu, 2015, Using fractional order accumulation to reduce errors from inverse accumulated generating operator of grey model, Soft Computing, 19, 483, 10.1007/s00500-014-1268-y Zeng, 2017, A self-adaptive intelligence gray prediction model with the optimal fractional order accumulating operator and its application, Math Methods Appl Sci, 40, 7843, 10.1002/mma.4565 Wu, 2018, Application of the novel fractional grey model FAGMO (1, 1,k) to predict China's nuclear energy consumption, Energy, 165, 223, 10.1016/j.energy.2018.09.155 Wu, 2019, Forecasting short-term renewable energy consumption of China using a novel fractional nonlinear grey Bernoulli model, Renew Energy, 140, 70, 10.1016/j.renene.2019.03.006 Wu, 2018, Using a novel multi-variable grey model to forecast the electricity consumption of Shandong Province in China, Energy, 10.1016/j.energy.2018.05.147 Ma, 2019, The novel fractional discrete multivariate grey system model and its applications, Appl Math Model, 70, 402, 10.1016/j.apm.2019.01.039 Zhang, 2015, Delay multi-variables discrete grey model and its application, Systems Engineering-Theory & Practice, 35 Wang, 2015, Multivariable time-delayed GM (1, N) model and its application, Control Decis, 30, 2298 Xiong, 2018, Nonlinear multivariable GM(1,N) model based on interval gray number sequence, J Grey Syst, 30, 33 Ma, 2017, Application of a novel time-delayed polynomial grey model to predict the natural gas consumption in China, J Comput Appl Math, 324, 17, 10.1016/j.cam.2017.04.020 Mirjalili, 2014, Grey wolf optimizer, Adv Eng Software, 69, 46, 10.1016/j.advengsoft.2013.12.007 Mao, 2016, A novel fractional grey system model and its application, Appl Math Model, 40, 5063, 10.1016/j.apm.2015.12.014 Ma, 2017, The GMC (1,n) Model with optimized parameters and its application, J Grey Syst, 29, 122 Liu, 2010 Ma, 2016, Research on the novel recursive discrete multivariate grey prediction model and its applications, Appl Math Model, 40, 4876, 10.1016/j.apm.2015.12.021 Alzer, 2007, Monotonicity properties of the gamma function, Appl Math Lett, 20, 778, 10.1016/j.aml.2006.08.026 Wei, 2018, Optimal solution for novel grey polynomial prediction model, Appl Math Model, 62, 717, 10.1016/j.apm.2018.06.035 Pei, 2018, The NLS-based nonlinear grey Bernoulli model with an application to employee demand prediction of high-tech enterprises in China, Grey Syst Theor Appl, 8, 133, 10.1108/GS-11-2017-0038 Wang, 2019, Modelling the nonlinear relationship between CO2 emissions and economic growth using a PSO algorithm-based grey Verhulst model, J Clean Prod, 207, 214, 10.1016/j.jclepro.2018.10.010 Xiao, 2019, A knowledge-driven method of adaptively optimizing process parameters for energy efficient turning, Energy, 166, 142, 10.1016/j.energy.2018.09.191 Mirjalili, 2015, How effective is the Grey Wolf Optimizer in training multi-layer perceptrons, Appl Intell, 43, 150, 10.1007/s10489-014-0645-7 Xie, 2018, Measurement of shock effect following change of one-child policy based on grey forecasting approach, Kybernetes, 47, 559, 10.1108/K-05-2017-0159 Xie, 2009, Discrete grey forecasting model and its optimization, Appl Math Model, 33, 1173, 10.1016/j.apm.2008.01.011 Wu, 2015, Using a novel grey system model to forecast natural gas consumption in China, Math Probl Eng Chen, 2008, Forecasting of foreign exchange rates of Taiwan's major trading partners by novel nonlinear Grey Bernoulli model NGBM(1, 1), Commun Nonlinear Sci Numer Simul, 13, 1194, 10.1016/j.cnsns.2006.08.008 Wu, 2014, Discrete grey model based on fractional order accumulate, Syst. Eng. Theory Pract, 34, 1822 Yang, 2016, Continuous fractional-order grey model and electricity prediction research based on the observation error feedback, Energy, 115, 722, 10.1016/j.energy.2016.08.097 Xiong, 2014, Optimal modeling and forecasting of the energy consumption and production in China, Energy, 77, 623, 10.1016/j.energy.2014.09.056 Lewis, 1982 Ma, 2018, Carbon abatement in China's commercial building sector: a bottom-up measurement model based on Kaya-LMDI methods, Energy, 165, 350, 10.1016/j.energy.2018.09.070 Olver, 2010 Wang, 2018, Flow modeling of well test analysis for a multiple-fractured horizontal well in triple media carbonate reservoir, Int J Nonlinear Sci Num Simulat, 19, 439, 10.1515/ijnsns-2016-0075