Analysis of Climatic Model Using Fractional Optimal Control
CO2 emissions are one of the most critical and challenging problems impacting the atmosphere. In order to reduce CO2 emissions, significant efforts must be put forward in advanced research. In this research, we propose a fractional optimal control approach to effectively deal with the accessible res...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/7482381 |
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| _version_ | 1832547945527902208 |
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| author | Muhammad Nadeem Mustafa Habib Muntaha Safdar Patrick Kandege Mwanakatwe |
| author_facet | Muhammad Nadeem Mustafa Habib Muntaha Safdar Patrick Kandege Mwanakatwe |
| author_sort | Muhammad Nadeem |
| collection | DOAJ |
| description | CO2 emissions are one of the most critical and challenging problems impacting the atmosphere. In order to reduce CO2 emissions, significant efforts must be put forward in advanced research. In this research, we propose a fractional optimal control approach to effectively deal with the accessible resources and minimize the restriction of variables. The mathematical model is formulated in terms of the Caputo fractional derivative. The formulated problem is numerically solved using a forward-backward sweep approach with the generalized Euler method. We present a numerical problem to obtain the optimal solution and show that the suggested process is very efficient in science and engineering problems. |
| format | Article |
| id | doaj-art-c3340f2a9b334fa7a56f65ef65deb431 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c3340f2a9b334fa7a56f65ef65deb4312025-02-03T06:42:48ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/7482381Analysis of Climatic Model Using Fractional Optimal ControlMuhammad Nadeem0Mustafa Habib1Muntaha Safdar2Patrick Kandege Mwanakatwe3School of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsEastern Africa Statistical Training CenterCO2 emissions are one of the most critical and challenging problems impacting the atmosphere. In order to reduce CO2 emissions, significant efforts must be put forward in advanced research. In this research, we propose a fractional optimal control approach to effectively deal with the accessible resources and minimize the restriction of variables. The mathematical model is formulated in terms of the Caputo fractional derivative. The formulated problem is numerically solved using a forward-backward sweep approach with the generalized Euler method. We present a numerical problem to obtain the optimal solution and show that the suggested process is very efficient in science and engineering problems.http://dx.doi.org/10.1155/2023/7482381 |
| spellingShingle | Muhammad Nadeem Mustafa Habib Muntaha Safdar Patrick Kandege Mwanakatwe Analysis of Climatic Model Using Fractional Optimal Control Journal of Mathematics |
| title | Analysis of Climatic Model Using Fractional Optimal Control |
| title_full | Analysis of Climatic Model Using Fractional Optimal Control |
| title_fullStr | Analysis of Climatic Model Using Fractional Optimal Control |
| title_full_unstemmed | Analysis of Climatic Model Using Fractional Optimal Control |
| title_short | Analysis of Climatic Model Using Fractional Optimal Control |
| title_sort | analysis of climatic model using fractional optimal control |
| url | http://dx.doi.org/10.1155/2023/7482381 |
| work_keys_str_mv | AT muhammadnadeem analysisofclimaticmodelusingfractionaloptimalcontrol AT mustafahabib analysisofclimaticmodelusingfractionaloptimalcontrol AT muntahasafdar analysisofclimaticmodelusingfractionaloptimalcontrol AT patrickkandegemwanakatwe analysisofclimaticmodelusingfractionaloptimalcontrol |