A fractional approach to solar heating model using extended ODE system
In contrast to fossil fuels, the sun has more than enough energy to supply the entire world's energy needs. The sole constraint on solar energy as a renewable resource is our capacity to efficiently and economically convert it to electricity. In this work, we take advantage of the fractional de...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-10-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823008244 |
| _version_ | 1797659928764088320 |
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| author | Muhammad Irfan Ullah Qura Tul Ain Aziz Khan Thabet Abdeljawad Manar A. Alqudah |
| author_facet | Muhammad Irfan Ullah Qura Tul Ain Aziz Khan Thabet Abdeljawad Manar A. Alqudah |
| author_sort | Muhammad Irfan Ullah |
| collection | DOAJ |
| description | In contrast to fossil fuels, the sun has more than enough energy to supply the entire world's energy needs. The sole constraint on solar energy as a renewable resource is our capacity to efficiently and economically convert it to electricity. In this work, we take advantage of the fractional derivative, we introduce the dynamics of the solar heating model. We incorporated the Atangana-Baleanu derivative (ABC) in our analysis. Then the solutions of our fractional system are investigated for existence and uniqueness. In order to visualize the fractional order model solution, we used a novel and trendy numerical method to represent the dynamics of different parameters of the nonlinear ordinary differential equation system. It is shown that the proposed ODE models are valid and efficient for fractional order data for a functioning solar heating system. |
| first_indexed | 2024-03-11T18:22:25Z |
| format | Article |
| id | doaj.art-a8778900dd6b4884a5a5901706b00775 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-11T18:22:25Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-a8778900dd6b4884a5a5901706b007752023-10-15T04:36:50ZengElsevierAlexandria Engineering Journal1110-01682023-10-0181405418A fractional approach to solar heating model using extended ODE systemMuhammad Irfan Ullah0Qura Tul Ain1Aziz Khan2Thabet Abdeljawad3Manar A. Alqudah4Institute of Functional Nano and Soft Materials (FUNSOM), Jiangsu Key Laboratory for Carbon-Based Functional Materials and Devices, Soochow University, Suzhou, 215123, Jiangsu, PR ChinaDepartment of Mathematics, Guizhou University, Guiyang, 550025, Guizhou, PR ChinaDepartment of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Department of Mathematics, Kyung Hee University 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Korea; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, Medusa 0204, South Africa; Corresponding author.Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi ArabiaIn contrast to fossil fuels, the sun has more than enough energy to supply the entire world's energy needs. The sole constraint on solar energy as a renewable resource is our capacity to efficiently and economically convert it to electricity. In this work, we take advantage of the fractional derivative, we introduce the dynamics of the solar heating model. We incorporated the Atangana-Baleanu derivative (ABC) in our analysis. Then the solutions of our fractional system are investigated for existence and uniqueness. In order to visualize the fractional order model solution, we used a novel and trendy numerical method to represent the dynamics of different parameters of the nonlinear ordinary differential equation system. It is shown that the proposed ODE models are valid and efficient for fractional order data for a functioning solar heating system.http://www.sciencedirect.com/science/article/pii/S1110016823008244Fractional solar heating modelNewton polynomialMittag-Leffler kernelAtangana Baleanu derivative |
| spellingShingle | Muhammad Irfan Ullah Qura Tul Ain Aziz Khan Thabet Abdeljawad Manar A. Alqudah A fractional approach to solar heating model using extended ODE system Alexandria Engineering Journal Fractional solar heating model Newton polynomial Mittag-Leffler kernel Atangana Baleanu derivative |
| title | A fractional approach to solar heating model using extended ODE system |
| title_full | A fractional approach to solar heating model using extended ODE system |
| title_fullStr | A fractional approach to solar heating model using extended ODE system |
| title_full_unstemmed | A fractional approach to solar heating model using extended ODE system |
| title_short | A fractional approach to solar heating model using extended ODE system |
| title_sort | fractional approach to solar heating model using extended ode system |
| topic | Fractional solar heating model Newton polynomial Mittag-Leffler kernel Atangana Baleanu derivative |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823008244 |
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