Implicit Caputo fractional q-difference equations with non instantaneous impulses

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URI: https://hdl.handle.net/10347/38378
ISSN: 1847-120X
E-ISSN: 1848-9605
DOI: 10.7153/dea-2023-15-12

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2023-08-01

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Ele-Math
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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.

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Fractional q-difference equation| Caputo fractional derivative| Measure of noncompactness| Non instantaneous impulses| Fixed point theorems

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PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe” of the “European Union”.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)
Estatística, Análise Matemática e Optimización