On the Generalized Laplace Transform

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

dc.contributor.author	Bosch, Paul
dc.contributor.author	Carmenate García, Héctor José
dc.contributor.author	Rodríguez, José Manuel
dc.contributor.author	Sigarreta, José María
dc.date.accessioned	2021-11-30T15:17:50Z
dc.date.available	2021-11-30T15:17:50Z
dc.date.issued	2021
dc.identifier.citation	Bosch, P.; Carmenate García, H.J.; Rodríguez, J.M.; Sigarreta, J.M. On the Generalized Laplace Transform. Symmetry 2021, 13, 669. https://doi.org/10.3390/ sym13040669	es
dc.identifier.uri	https://doi.org/10.3390/sym13040669	es
dc.identifier.uri	http://hdl.handle.net/11447/5139
dc.description.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.	es
dc.language.iso	en	es
dc.subject	Fractional derivative	es
dc.subject	Convolution	es
dc.subject	Generalized Laplace transform	es
dc.title	On the Generalized Laplace Transform	es
dc.type	Article	es
dcterms.source	Symmetry	es