Pseudo-fractional differential equations and generalized g-Laplace transform

In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a [Formula: see text] -Hilfer pseudo-fractional derivative and function convolution. In this sense, we investigated the existence and uniqueness o...

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Autores principales: Sousa, J. Vanterler da C., Camargo, Rubens F., de Oliveira, E. Capelas, Frederico, Gastáo S. F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8308114/
https://www.ncbi.nlm.nih.gov/pubmed/34335222
http://dx.doi.org/10.1007/s11868-021-00416-9
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author Sousa, J. Vanterler da C.
Camargo, Rubens F.
de Oliveira, E. Capelas
Frederico, Gastáo S. F.
author_facet Sousa, J. Vanterler da C.
Camargo, Rubens F.
de Oliveira, E. Capelas
Frederico, Gastáo S. F.
author_sort Sousa, J. Vanterler da C.
collection PubMed
description In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a [Formula: see text] -Hilfer pseudo-fractional derivative and function convolution. In this sense, we investigated the existence and uniqueness of known solutions for a pseudo-fractional differential equation.
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spelling pubmed-83081142021-07-26 Pseudo-fractional differential equations and generalized g-Laplace transform Sousa, J. Vanterler da C. Camargo, Rubens F. de Oliveira, E. Capelas Frederico, Gastáo S. F. J Pseudodiffer Oper Appl Article In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a [Formula: see text] -Hilfer pseudo-fractional derivative and function convolution. In this sense, we investigated the existence and uniqueness of known solutions for a pseudo-fractional differential equation. Springer International Publishing 2021-07-24 2021 /pmc/articles/PMC8308114/ /pubmed/34335222 http://dx.doi.org/10.1007/s11868-021-00416-9 Text en © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Sousa, J. Vanterler da C.
Camargo, Rubens F.
de Oliveira, E. Capelas
Frederico, Gastáo S. F.
Pseudo-fractional differential equations and generalized g-Laplace transform
title Pseudo-fractional differential equations and generalized g-Laplace transform
title_full Pseudo-fractional differential equations and generalized g-Laplace transform
title_fullStr Pseudo-fractional differential equations and generalized g-Laplace transform
title_full_unstemmed Pseudo-fractional differential equations and generalized g-Laplace transform
title_short Pseudo-fractional differential equations and generalized g-Laplace transform
title_sort pseudo-fractional differential equations and generalized g-laplace transform
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8308114/
https://www.ncbi.nlm.nih.gov/pubmed/34335222
http://dx.doi.org/10.1007/s11868-021-00416-9
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