Existence and stability analysis for a coupled system of q-fractional implicit jerk Caputo derivatives with q-Erdélyi-Kober fractional integral conditions

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This manuscript demonstrates the existence, uniqueness, and different kinds of Ulam stability for a q-Caputo implicit fractional jerk coupled system involving q-fractional Erdélyi-Kober integral conditions. The existence and uniqueness results were investigated by employing the Leray-Schauder alternative and the Banach contraction mapping principle. We also derived various kinds of Ulam stability under specific conditions. We provided an example to verify our main results.