Mathematical Modeling and Optimal Control of Carbon Dioxide Emissions

Akhavan Ghassabzade, Fahimeh; Bagherpoorfard, Mina

doi:10.30473/coam.2023.67777.1233

Document Type : Research Article

Authors

¹ Department of Mathematics‎, ‎Faculty of Sciences‎, ‎University of Gonabad‎, ‎Gonabad‎, ‎Iran.

² Department of Mathematics, Fasa Branch, Islamic Azad university, Fasa, Iran.

10.30473/coam.2023.67777.1233

Abstract

‎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.

Keywords

Main Subjects

Fractional Systems

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Control and Optimization in Applied Mathematics

Mathematical Modeling and Optimal Control of Carbon Dioxide Emissions

References

References

Articles in Press, Accepted Manuscript
Available Online from 24 December 2023

Mathematical Modeling and Optimal Control of Carbon Dioxide Emissions

References

References

Articles in Press, Accepted Manuscript Available Online from 24 December 2023

Articles in Press, Accepted Manuscript
Available Online from 24 December 2023