One-dimensional quaternion Laplace transform: Properties and its application to quaternion-valued differential equations

This paper is devoted to the study of the quaternion Laplace transform, which is a natural generalization of the classical Laplace transform using the quaternion algebra. We find that some of its properties such as derivative, convolution and correlation theorems are quite different from the corresp...

Full description

Bibliographic Details
Main Authors: Muhammad Afdal Bau, Mawardi Bahri, Nasrullah Bachtiar, St. Nurhilmah Busrah, Muh. Nur
Format: Article
Language:English
Published: Elsevier 2023-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818123000608