Publication:
On the generalized Laplace transform

Loading...
Thumbnail Image
Identifiers
Publication date
2021-04
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
In this paper we introduce a generalized Laplace transform in order to work with a very general fractional derivative, and we obtain the properties of this new transform. We also include the corresponding convolution and inverse formula. In particular, the definition of convolution for this generalized Laplace transform improves previous results. Additionally, we deal with the generalized harmonic oscillator equation, showing that this transform and its properties allow one to solve fractional differential equations.
Description
This article belongs to the Special Issue Discrete and Fractional Mathematics: Symmetry and Applications.
Keywords
Fractional derivative, Convolution, Generalized Laplace transform
Bibliographic citation
Bosch, P., Carmenate García, H. J., Rodríguez, J. M. & Sigarreta, J. M. (2021). On the Generalized Laplace Transform. Symmetry, 13(4), 669.