Implicit Caputo fractional q-difference equations with non instantaneous impulses

In the present article, we prove some existence results for a class of implicit Caputofractional q-difference equations with non instantaneous impulses in Banach spaces. The used techniques rely on the concepts of measure of noncompactness and the use of suitable fixed point theorems.

Detalhes bibliográficos
Autores: Abbas, Saïd, Benchohra, Mouffak, Cabada Fernández, Alberto
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/38378
Acesso em linha:https://hdl.handle.net/10347/38378
Access Level:acceso abierto
Palavra-chave:Fractional q-difference equation
Caputo fractional derivative
Measure of noncompactness
Non instantaneous impulses
Fixed point theorems
1202 Análisis y análisis funcional
Descrição
Resumo:In the present article, we prove some existence results for a class of implicit Caputofractional q-difference equations with non instantaneous impulses in Banach spaces. The used techniques rely on the concepts of measure of noncompactness and the use of suitable fixed point theorems.