New trends in Laplace type integral transforms with applications

New trends in Laplace type integral transforms with applications

Abstract In this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution f...

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Bibliographic Details
Main Author: Arman Aghili
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2017-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Keywords: Laplace transform
Generalized Stieltjes transform
Kelvin’s function
Airy differential equation
Korteweg – de Vries equation.
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/28645
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spelling doaj-8d77dd209d744bfc87bb4b7e55c562052020-11-24T20:56:56ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882017-10-0135117319310.5269/bspm.v35i1.2864512995New trends in Laplace type integral transforms with applicationsArman Aghili0University of GuilanAbstract In this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution for a variant of the Kd.V equation. Illustrative examples are also provided.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/28645Keywords: Laplace transformGeneralized Stieltjes transformKelvin’s functionAiry differential equationKorteweg – de Vries equation.
collection DOAJ
language English
format Article
sources DOAJ
author Arman Aghili
spellingShingle Arman Aghili
New trends in Laplace type integral transforms with applications
Boletim da Sociedade Paranaense de Matemática
Keywords: Laplace transform
Generalized Stieltjes transform
Kelvin’s function
Airy differential equation
Korteweg – de Vries equation.
author_facet Arman Aghili
author_sort Arman Aghili
title New trends in Laplace type integral transforms with applications
title_short New trends in Laplace type integral transforms with applications
title_full New trends in Laplace type integral transforms with applications
title_fullStr New trends in Laplace type integral transforms with applications
title_full_unstemmed New trends in Laplace type integral transforms with applications
title_sort new trends in laplace type integral transforms with applications
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2017-10-01
description Abstract In this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution for a variant of the Kd.V equation. Illustrative examples are also provided.
topic Keywords: Laplace transform
Generalized Stieltjes transform
Kelvin’s function
Airy differential equation
Korteweg – de Vries equation.
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/28645
work_keys_str_mv AT armanaghili newtrendsinlaplacetypeintegraltransformswithapplications
_version_ 1716789355438145536

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