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.

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	667-675
Número de páginas	9
Publicación	Applied Mathematics and Information Sciences
Volumen	15
N.º	5
DOI	https://doi.org/10.18576/amis/150516
Estado	Publicada - sep. 2021

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© 2021. All Rights Reserved.

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Pontificia Universidad Católica del Ecuador

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title = "On a Generalized Laplace Transform",

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.",

keywords = "Fractional calculus, Generalized Laplace transform, Generalized derivatives and integral",

author = "Miguel, {Vivas Cortez} and {Luciano M.}, {Lugo Motta Bittencurt} and {Juan E.}, {N{\'a}poles Vald{\'e}s}",

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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

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