Study of radioactive decay process of uranium atoms via fractals-fractional analysis
This manuscript is devoted to derive a mathematical formulation for radioactivity process of uranium to radium which decays to produce radon. Radon which further decays to produce polonium atoms. The said interesting phenomenon is investigated using the concept of fractals-fractional calculus. The c...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-04-01
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| Series: | South African Journal of Chemical Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1026918524000027 |
| _version_ | 1827274373653856256 |
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| author | Kamal Shah Thabet Abdeljawad |
| author_facet | Kamal Shah Thabet Abdeljawad |
| author_sort | Kamal Shah |
| collection | DOAJ |
| description | This manuscript is devoted to derive a mathematical formulation for radioactivity process of uranium to radium which decays to produce radon. Radon which further decays to produce polonium atoms. The said interesting phenomenon is investigated using the concept of fractals-fractional calculus. The concerned differential operator plays significant role to describe the complex and irregular geometry of real world problems. Also, we deduce the existence theory of such process through mathematical analysis using fractal type Laplace transform. Finally, a computational algorithm is established to simulate the corresponding results for various fractals and fractional orders. In this regard, computational software Matlab-16 is used to simulate our theoretical results. Various graphical presentations are displayed for the computed theoretical results. A comparison with classical traditional order model has also done. |
| first_indexed | 2024-03-08T11:27:01Z |
| format | Article |
| id | doaj.art-9d5e4a58118d4ac3a3d42fcb57e63304 |
| institution | Directory Open Access Journal |
| issn | 1026-9185 |
| language | English |
| last_indexed | 2025-03-22T06:23:59Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | South African Journal of Chemical Engineering |
| spelling | doaj.art-9d5e4a58118d4ac3a3d42fcb57e633042024-04-26T04:58:35ZengElsevierSouth African Journal of Chemical Engineering1026-91852024-04-01486370Study of radioactive decay process of uranium atoms via fractals-fractional analysisKamal Shah0Thabet Abdeljawad1Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Department of Mathematics, University of Malakand Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan; Corresponding author.Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi ArabiaThis manuscript is devoted to derive a mathematical formulation for radioactivity process of uranium to radium which decays to produce radon. Radon which further decays to produce polonium atoms. The said interesting phenomenon is investigated using the concept of fractals-fractional calculus. The concerned differential operator plays significant role to describe the complex and irregular geometry of real world problems. Also, we deduce the existence theory of such process through mathematical analysis using fractal type Laplace transform. Finally, a computational algorithm is established to simulate the corresponding results for various fractals and fractional orders. In this regard, computational software Matlab-16 is used to simulate our theoretical results. Various graphical presentations are displayed for the computed theoretical results. A comparison with classical traditional order model has also done.http://www.sciencedirect.com/science/article/pii/S1026918524000027Radioactivity processUranium atomsMathematical formulationFractal type Laplace transform |
| spellingShingle | Kamal Shah Thabet Abdeljawad Study of radioactive decay process of uranium atoms via fractals-fractional analysis South African Journal of Chemical Engineering Radioactivity process Uranium atoms Mathematical formulation Fractal type Laplace transform |
| title | Study of radioactive decay process of uranium atoms via fractals-fractional analysis |
| title_full | Study of radioactive decay process of uranium atoms via fractals-fractional analysis |
| title_fullStr | Study of radioactive decay process of uranium atoms via fractals-fractional analysis |
| title_full_unstemmed | Study of radioactive decay process of uranium atoms via fractals-fractional analysis |
| title_short | Study of radioactive decay process of uranium atoms via fractals-fractional analysis |
| title_sort | study of radioactive decay process of uranium atoms via fractals fractional analysis |
| topic | Radioactivity process Uranium atoms Mathematical formulation Fractal type Laplace transform |
| url | http://www.sciencedirect.com/science/article/pii/S1026918524000027 |
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