Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction

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.

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Abstract

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.

Item Type:	Article
Keyword:	quaternion; quaternion differential equation; systematic review
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics > QA150-272.5 Algebra Q Science > QA Mathematics > QA1-939 Mathematics > QA299.6-433 Analysis
Department:	FACULTY > Faculty of Science and Natural Resources
Depositing User:	ABDULLAH BIN SABUDIN -
Date Deposited:	28 Jun 2024 14:29
Last Modified:	28 Jun 2024 14:29
URI:	https://eprints.ums.edu.my/id/eprint/38970

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