Caputo fractional $q$-difference equations in Banach spaces

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Abdelkrim Salim
Said Abbas
Mouffak Benchohra
Jamal Eddine Lazreg


This paper aims to explore the existence results of a certain type of Caputo fractional qq-difference equations in Banach spaces. To achieve this goal, we employ a fixed point theorem that relies on the concept of measure of noncompactness and the convex-power condensing operator. We give an illustrative example in the last section.


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Salim, A., Abbas, S., Benchohra, M. and Lazreg, J.E. 2023. Caputo fractional $q$-difference equations in Banach spaces. Journal of Innovative Applied Mathematics and Computational Sciences. 3, 1 (Apr. 2023), 1–14.
Research Articles
Author Biographies

Said Abbas, University of Saida

Said Abbas is a full professor at the Department of Electronics, University of Sa\"{\i}da--Dr. Moulay Tahar,

Mouffak Benchohra, University of Sidi Bel Abbes

Mouffak Benchohra is a full professor at University of Sidi Bel Abbes.


Jamal Eddine Lazreg, University of Sidi Bel Abbes

Jamal Eddine Lazreg is a full professor at the University of Sidi Bel Abbes



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