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Mathematical Modeling and Optimal Control of Carbon Dioxide Emissions | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 11، دوره 9، شماره 1، مرداد 2024، صفحه 195-202 اصل مقاله (432.82 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2023.67777.1233 | ||
| نویسندگان | ||
| Fahimeh Akhavan Ghassabzade* 1؛ Mina Bagherpoorfard2 | ||
| 1Department of Mathematics, Faculty of Sciences, University of Gonabad, Gonabad, Iran. | ||
| 2Department of Mathematics, Fasa Branch, Islamic Azad university, Fasa, Iran. | ||
| چکیده | ||
| This paper aims to demonstrate the flexibility of mathematical models in analyzing carbon dioxide emissions and account for memory effects. The use of real data amplifies the importance of this study. This research focuses on developing a mathematical model utilizing fractional-order differential equations to represent carbon dioxide emissions stemming from the energy sector. By comparing simulation results with real-world data, it is determined that the fractional model exhibits superior accuracy when contrasted with the classical model. Additionally, an optimal control strategy is proposed to minimize the levels of carbon dioxide, CO2, and associated implementation costs. The fractional optimal control problem is addressed through the utilization of an iterative algorithm, and the effectiveness of the model is verified by presenting comparative results. | ||
| کلیدواژهها | ||
| {Fractional؛ Mathematical model؛ Optimal control؛ Carbon dioxide | ||
| مراجع | ||
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