On a Generalized Laplace Transform

Vivas Cortez Miguel; Lugo Motta Bittencurt Luciano M.; Nápoles Valdés Juan E.

doi:10.18576/amis/150516

On a Generalized Laplace Transform

Vivas Cortez Miguel^*, Lugo Motta Bittencurt Luciano M., Nápoles Valdés Juan E.

^*Corresponding author for this work

Faculty of Exact and Natural Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this work we define a generalized Laplace transform and establish some of its fundamental properties, in addition, we show that it contains as particular cases, several known from the literature, including the classical Laplace transform. In addition, its application to the resolution of generalized differential equations is shown.

Original language	English
Pages (from-to)	667-675
Number of pages	9
Journal	Applied Mathematics and Information Sciences
Volume	15
Issue number	5
DOIs	https://doi.org/10.18576/amis/150516
State	Published - Sep 2021

Bibliographical note

Publisher Copyright:
© 2021. All Rights Reserved.

Funding

Authors thank to Dirección de Investigación from Pontificial Catholical University of Ecuador for the technical support given to this project. Also, the authors are grateful to the anonymous referee for a careful checking of the details and for helpful comments that improved this paper.

Funders	Funder number
Pontificia Universidad Católica del Ecuador

Keywords

Fractional calculus
Generalized Laplace transform
Generalized derivatives and integral

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10.18576/amis/150516

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AU - Juan E., Nápoles Valdés

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AB - In this work we define a generalized Laplace transform and establish some of its fundamental properties, in addition, we show that it contains as particular cases, several known from the literature, including the classical Laplace transform. In addition, its application to the resolution of generalized differential equations is shown.

KW - Fractional calculus

KW - Generalized Laplace transform

KW - Generalized derivatives and integral

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On a Generalized Laplace Transform

Abstract

Bibliographical note

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Keywords

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