{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:52:52Z","timestamp":1761648772288,"version":"3.37.3"},"reference-count":35,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p>This study presents a novel fractional order grey model FGM ([Formula: see text],1) obtained by extending the grey model (GM (1,1)). For this, we generalize the whitenization first-order differential equation to fractional order by using the Caputo fractional derivative of order [Formula: see text]. A real-world case study, scrutinize the economic growth influence on environmental degradation in Turkey, is performed to evaluate the significance of the projected model FGM ([Formula: see text],1) in contrast to the current classical GM. We apply autoregressive distributed lags bounds testing co-integration approach to empirically examine the long-run and short-run relation among economic growth, agriculture, forestry and fishing (AFF), electricity utilization and CO<jats:sub>2<\/jats:sub>emissions. Using the new fractional order model, all the variables are forecasted in the forthcoming years until 2030. Findings disclose that electricity utilization and economic growth (GDP) accelerate emission of CO<jats:sub>2<\/jats:sub>though in the long run agriculture, forestry, and fishing reduce the environmental pollution in Turkey.<\/jats:p>","DOI":"10.1142\/s1793962320500397","type":"journal-article","created":{"date-parts":[[2020,6,15]],"date-time":"2020-06-15T06:08:00Z","timestamp":1592201280000},"page":"2050039","source":"Crossref","is-referenced-by-count":7,"title":["A novel fractional grey model applied to the environmental assessment in Turkey"],"prefix":"10.1142","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6936-3446","authenticated-orcid":false,"given":"Aliya","family":"Shaheen","sequence":"first","affiliation":[{"name":"School of Economics and Management, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China"}]},{"given":"Jinyong","family":"Sheng","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. China"}]},{"given":"Sadia","family":"Arshad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Punjab, Pakistan"}]},{"given":"Ozlem","family":"Defterli","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Cankaya University, Ankara 06790, Turkey"}]},{"given":"Xiaoqing","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Public Administration, China University of Geosciences, Wuhan 430074, Hubei, China"}]},{"given":"Dumitru","family":"Baleanu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Cankaya University, Ankara 06790, Turkey"}]}],"member":"219","published-online":{"date-parts":[[2020,8,31]]},"reference":[{"key":"S1793962320500397BIB002","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.scitotenv.2018.08.229","volume":"649","author":"Abbas M.","year":"2019","journal-title":"Sci. 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