Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction
Quaternion is a four-dimensional and an extension of the complex number system. It is often viewed from various fields, such as analysis, algebra, and geometry. Several applications of quaternions are related to an object’s rotation and motion in three-dimensional space in the form of a differential...
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| Format: | Article |
| Language: | English English |
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MDPI
2023
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| Online Access: | https://eprints.ums.edu.my/id/eprint/38970/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38970/2/FULL%20TEXT.pdf |
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| author | Alit Kartiwa Asep K. Supriatna Endang Rusyaman Jumat Sulaiman |
| author_facet | Alit Kartiwa Asep K. Supriatna Endang Rusyaman Jumat Sulaiman |
| author_sort | Alit Kartiwa |
| collection | UMS |
| description | Quaternion is a four-dimensional and an extension of the complex number system. It is often viewed from various fields, such as analysis, algebra, and geometry. Several applications of quaternions are related to an object’s rotation and motion in three-dimensional space in the form of a differential equation. In this paper, we do a systematic literature review on the development of quaternion differential equations. We utilize PRISMA (preferred reporting items for systematic review and meta-analyses) framework in the review process as well as content analysis. The expected result is a state-of-the-art and the gap of concepts or problems that still need to develop or answer. It was concluded that there are still some opportunities to develop a quaternion differential equation using a quaternion function domain. |
| first_indexed | 2024-09-24T00:49:50Z |
| format | Article |
| id | ums.eprints-38970 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-09-24T00:49:50Z |
| publishDate | 2023 |
| publisher | MDPI |
| record_format | dspace |
| spelling | ums.eprints-389702024-06-28T06:29:31Z https://eprints.ums.edu.my/id/eprint/38970/ Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction Alit Kartiwa Asep K. Supriatna Endang Rusyaman Jumat Sulaiman QA150-272.5 Algebra QA299.6-433 Analysis Quaternion is a four-dimensional and an extension of the complex number system. It is often viewed from various fields, such as analysis, algebra, and geometry. Several applications of quaternions are related to an object’s rotation and motion in three-dimensional space in the form of a differential equation. In this paper, we do a systematic literature review on the development of quaternion differential equations. We utilize PRISMA (preferred reporting items for systematic review and meta-analyses) framework in the review process as well as content analysis. The expected result is a state-of-the-art and the gap of concepts or problems that still need to develop or answer. It was concluded that there are still some opportunities to develop a quaternion differential equation using a quaternion function domain. MDPI 2023 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/38970/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/38970/2/FULL%20TEXT.pdf Alit Kartiwa and Asep K. Supriatna and Endang Rusyaman and Jumat Sulaiman (2023) Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction. Axioms, 12. pp. 1-19. https://doi.org/10.3390/axioms12050483 |
| spellingShingle | QA150-272.5 Algebra QA299.6-433 Analysis Alit Kartiwa Asep K. Supriatna Endang Rusyaman Jumat Sulaiman Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction |
| title | Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction |
| title_full | Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction |
| title_fullStr | Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction |
| title_full_unstemmed | Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction |
| title_short | Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction |
| title_sort | review of quaternion differential equations historical development applications and future direction |
| topic | QA150-272.5 Algebra QA299.6-433 Analysis |
| url | https://eprints.ums.edu.my/id/eprint/38970/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38970/2/FULL%20TEXT.pdf |
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