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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Detalles Bibliográficos
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
Descripción
Sumario: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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