This paper discusses the significance of quantum calculus in some mathematical fields. It specifically investigates solutions? existence, uniqueness, and stability for a system of n-nonlinear fractional q-differential equations with initial conditions involving Caputo fractional q-derivatives. The paper utilizes Schauder?s and Banach?s fixed-point theorems and Ulam-Hyers? stability criteria to explore the analytical dynamics inherent in these solutions. Additionally, it provides two illustrative examples to demonstrate the practical applicability of the obtained results.
Aouina et al. (Wed,) studied this question.