Fractional Moisil-Teodorescu operator in elasticity and electromagnetism
In this work, we introduce a fractional generalization of the classical Moisil-Teodorescu operator that provides a concise notation for presenting a mathematical formulation of physical systems in fractional space from various branches of science and engineering. The method used in this article, cal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-09-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821008346 |
| _version_ | 1811275143237861376 |
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| author | Juan Bory-Reyes Marco Antonio Pérez-de la Rosa Yudier Peña-Pérez |
| author_facet | Juan Bory-Reyes Marco Antonio Pérez-de la Rosa Yudier Peña-Pérez |
| author_sort | Juan Bory-Reyes |
| collection | DOAJ |
| description | In this work, we introduce a fractional generalization of the classical Moisil-Teodorescu operator that provides a concise notation for presenting a mathematical formulation of physical systems in fractional space from various branches of science and engineering. The method used in this article, called the Stillinger’s formalism, is combined in a novel way with quaternionic analysis. As a concrete application, a quaternionic reformulation of a fractional time-harmonic Maxwell system is established, thus showing a deep relation between it solutions with those of the perturbed fractional Moisil-Teodorescu operator. Furthermore, the fractional constructions here will find further applications in several applied research areas such as in hydrodynamics and magneto-hydrodynamics. |
| first_indexed | 2024-04-12T23:32:49Z |
| format | Article |
| id | doaj.art-83b59c3d2c4e428da9a84d73489f5e2b |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-12T23:32:49Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-83b59c3d2c4e428da9a84d73489f5e2b2022-12-22T03:12:15ZengElsevierAlexandria Engineering Journal1110-01682022-09-0161968116818Fractional Moisil-Teodorescu operator in elasticity and electromagnetismJuan Bory-Reyes0Marco Antonio Pérez-de la Rosa1Yudier Peña-Pérez2ESIME-Zacatenco, Instituto Politécnico Nacional, Av. Luis Enrique Erro S/N, Alcaldía Gustavo A. Madero, 07738 CDMX, MexicoDepartment of Actuarial Sciences, Physics and Mathematics, Universidad de las Américas Puebla, Ex Hacienda Sta. Catarina Mártir S/N, San Andrés Cholula, 72810 Puebla, Mexico; Corresponding author.Facultad de Matemáticas, Universidad Autónoma de Guerrero, Av. Lázaro Cárdenas S/N, Chilpancingo, 39087 Guerrero, MexicoIn this work, we introduce a fractional generalization of the classical Moisil-Teodorescu operator that provides a concise notation for presenting a mathematical formulation of physical systems in fractional space from various branches of science and engineering. The method used in this article, called the Stillinger’s formalism, is combined in a novel way with quaternionic analysis. As a concrete application, a quaternionic reformulation of a fractional time-harmonic Maxwell system is established, thus showing a deep relation between it solutions with those of the perturbed fractional Moisil-Teodorescu operator. Furthermore, the fractional constructions here will find further applications in several applied research areas such as in hydrodynamics and magneto-hydrodynamics.http://www.sciencedirect.com/science/article/pii/S111001682100834630G3531B1045E0544A15 |
| spellingShingle | Juan Bory-Reyes Marco Antonio Pérez-de la Rosa Yudier Peña-Pérez Fractional Moisil-Teodorescu operator in elasticity and electromagnetism Alexandria Engineering Journal 30G35 31B10 45E05 44A15 |
| title | Fractional Moisil-Teodorescu operator in elasticity and electromagnetism |
| title_full | Fractional Moisil-Teodorescu operator in elasticity and electromagnetism |
| title_fullStr | Fractional Moisil-Teodorescu operator in elasticity and electromagnetism |
| title_full_unstemmed | Fractional Moisil-Teodorescu operator in elasticity and electromagnetism |
| title_short | Fractional Moisil-Teodorescu operator in elasticity and electromagnetism |
| title_sort | fractional moisil teodorescu operator in elasticity and electromagnetism |
| topic | 30G35 31B10 45E05 44A15 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821008346 |
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