On the generalized Laplace transform

Bosch, Paul; Carmenate García, Héctor José; Rodríguez García, José Manuel; Sigarreta Almira, José María

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On the generalized Laplace transform

Author(s): Bosch, Paul; Carmenate García, Héctor José; Rodríguez García, José Manuel; Sigarreta Almira, José María

Publisher: MDPI

Issued date: 2021-04

Citation: Bosch, P., Carmenate García, H. J., Rodríguez, J. M. & Sigarreta, J. M. (2021). On the Generalized Laplace Transform. Symmetry, 13(4), 669.

ISSN: 2073-8994

DOI: https://doi.org/10.3390/sym13040669

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Comunidad de Madrid
Ministerio de Ciencia, Innovación y Universidades (España)

Sponsor: We would like to thank the referees for their comments, which have improved the paper. The research of José M. Rodríguez and José M. Sigarreta was supported by a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00/AEI/10.13039/501100011033), Spain. The research of José M. Rodríguez is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).

Project: Gobierno de España. PID2019-106433GB-I00
Comunidad de Madrid. EPUC3M23

Keywords: Fractional derivative , Convolution , Generalized Laplace transform

URI: http://hdl.handle.net/10016/33496

Rights: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Atribución 3.0 España

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 def [+]