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...

Descripción completa

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
Descripción
Sumario: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.

Ejemplares similares