Impulsive fractional order integrodifferential equation via fractional operators

In this paper, we establish the existence and uniqueness of the solution to fractional equations abstract integrodifferential equation with impulsive as [Image: see text] where [Image: see text] and we used the fixed point theorems due to Banach space. The main conclusion is obtained by using fracti...

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Detalles Bibliográficos
Autores principales: Al-Omari, Ahmad, Al-Saadi, Hanan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10019740/
https://www.ncbi.nlm.nih.gov/pubmed/36928011
http://dx.doi.org/10.1371/journal.pone.0282665
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author Al-Omari, Ahmad
Al-Saadi, Hanan
author_facet Al-Omari, Ahmad
Al-Saadi, Hanan
author_sort Al-Omari, Ahmad
collection PubMed
description In this paper, we establish the existence and uniqueness of the solution to fractional equations abstract integrodifferential equation with impulsive as [Image: see text] where [Image: see text] and we used the fixed point theorems due to Banach space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. Finally, in support, an example is presented to validate the obtained results.
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spelling pubmed-100197402023-03-17 Impulsive fractional order integrodifferential equation via fractional operators Al-Omari, Ahmad Al-Saadi, Hanan PLoS One Research Article In this paper, we establish the existence and uniqueness of the solution to fractional equations abstract integrodifferential equation with impulsive as [Image: see text] where [Image: see text] and we used the fixed point theorems due to Banach space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. Finally, in support, an example is presented to validate the obtained results. Public Library of Science 2023-03-16 /pmc/articles/PMC10019740/ /pubmed/36928011 http://dx.doi.org/10.1371/journal.pone.0282665 Text en © 2023 Al-Omari, Al-Saadi https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Al-Omari, Ahmad
Al-Saadi, Hanan
Impulsive fractional order integrodifferential equation via fractional operators
title Impulsive fractional order integrodifferential equation via fractional operators
title_full Impulsive fractional order integrodifferential equation via fractional operators
title_fullStr Impulsive fractional order integrodifferential equation via fractional operators
title_full_unstemmed Impulsive fractional order integrodifferential equation via fractional operators
title_short Impulsive fractional order integrodifferential equation via fractional operators
title_sort impulsive fractional order integrodifferential equation via fractional operators
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10019740/
https://www.ncbi.nlm.nih.gov/pubmed/36928011
http://dx.doi.org/10.1371/journal.pone.0282665
work_keys_str_mv AT alomariahmad impulsivefractionalorderintegrodifferentialequationviafractionaloperators
AT alsaadihanan impulsivefractionalorderintegrodifferentialequationviafractionaloperators

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