Existence and Ulam Stability of Initial Value Problem for Impulsive Fractional q-Difference Equations Nadia Allouch University of Mostaganem Samira Hamani (  samira@yahoo.fr ) University of Mostaganem Research Article Keywords: Fractional q-difference equations, Initial value problem, Impulsive differential equations, Caputo fractional q-difference derivative, Fixed point, Ulam-Hyers stability Posted Date: March 6th, 2023 DOI: https://doi.org/10.21203/rs.3.rs-2644103/v1 License:   This work is licensed under a Creative Commons Attribution 4.0 International License. Read Full License Additional Declarations: No competing interests reported.