Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell system
In this study, we design a specific geometry of plasma particles and further translate it into mathematical form, i.e., formulated time-fractional semi relativistic Vlasov Maxwell system. This extended version of model is very significant and ground-breaking because it has ability to study the behav...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822000850 |
| _version_ | 1811250598304022528 |
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| author | Tamour Zubair Muhammad Usman Ilyas Khan Muqrin A. Almuqrin Nawaf N. Hamadneh Abha Singh Tiao Lu |
| author_facet | Tamour Zubair Muhammad Usman Ilyas Khan Muqrin A. Almuqrin Nawaf N. Hamadneh Abha Singh Tiao Lu |
| author_sort | Tamour Zubair |
| collection | DOAJ |
| description | In this study, we design a specific geometry of plasma particles and further translate it into mathematical form, i.e., formulated time-fractional semi relativistic Vlasov Maxwell system. This extended version of model is very significant and ground-breaking because it has ability to study the behavior of plasma particles at macroscopic and microscopic time-evaluation scales, which is not studied yet. This model is further tackled with numerical strategy, projected in accordance with spectral and finite difference approximations. The numerical results demonstrate that there are certain variations of the plasma particles that were out of sight at fractional scale and dynamically, we have entered into the real profundity of the problem. Numerical convergence of the projected technique is also inspected. These designed tools, such as the plasma and numerical methods, are very significant and can say that it is a remarkable contribution in this field. In addition, the established numerical structure can utilize to scrutinize the required numerical solution of highly non-linear and fractional problems. |
| first_indexed | 2024-04-12T16:07:00Z |
| format | Article |
| id | doaj.art-3c15c5df75354323a46eeb3a899bb8b3 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-12T16:07:00Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-3c15c5df75354323a46eeb3a899bb8b32022-12-22T03:26:01ZengElsevierAlexandria Engineering Journal1110-01682022-11-01611186418652Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell systemTamour Zubair0Muhammad Usman1Ilyas Khan2Muqrin A. Almuqrin3Nawaf N. Hamadneh4Abha Singh5Tiao Lu6School of Mathematical Sciences, Peking University, Beijing 100871, ChinaDepartment of Mathematics, National University of Modern Languages (NUML), Islamabad 44000, PakistanDepartment of Mathematics, College of Science in Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia; Corresponding authors.Department of Mathematics, College of Science in Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia; Corresponding authors.Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi ArabiaDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi ArabiaHEDPS & CAPT, LMAM & School of Mathematical Sciences, Peking University, Beijing 100871, ChinaIn this study, we design a specific geometry of plasma particles and further translate it into mathematical form, i.e., formulated time-fractional semi relativistic Vlasov Maxwell system. This extended version of model is very significant and ground-breaking because it has ability to study the behavior of plasma particles at macroscopic and microscopic time-evaluation scales, which is not studied yet. This model is further tackled with numerical strategy, projected in accordance with spectral and finite difference approximations. The numerical results demonstrate that there are certain variations of the plasma particles that were out of sight at fractional scale and dynamically, we have entered into the real profundity of the problem. Numerical convergence of the projected technique is also inspected. These designed tools, such as the plasma and numerical methods, are very significant and can say that it is a remarkable contribution in this field. In addition, the established numerical structure can utilize to scrutinize the required numerical solution of highly non-linear and fractional problems.http://www.sciencedirect.com/science/article/pii/S1110016822000850Plasma PhysicsFractional calculusPolynomial theoryCircular polarization |
| spellingShingle | Tamour Zubair Muhammad Usman Ilyas Khan Muqrin A. Almuqrin Nawaf N. Hamadneh Abha Singh Tiao Lu Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell system Alexandria Engineering Journal Plasma Physics Fractional calculus Polynomial theory Circular polarization |
| title | Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell system |
| title_full | Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell system |
| title_fullStr | Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell system |
| title_full_unstemmed | Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell system |
| title_short | Atangana-Baleanu Caputo fractional-order modeling of plasma particles with circular polarization of LASER light: An extended version of Vlasov-Maxwell system |
| title_sort | atangana baleanu caputo fractional order modeling of plasma particles with circular polarization of laser light an extended version of vlasov maxwell system |
| topic | Plasma Physics Fractional calculus Polynomial theory Circular polarization |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822000850 |
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