@article{Xu2025, 
author = {Jiafa Xu and Yujun Cui and Khansa Hina Khalid and Akbar Zada and Ioan-Lucian Popa and Afef Kallekh},
title = {Existence and stability analysis for a coupled system of        q  -fractional implicit jerk Caputo derivatives with        q  -Erdélyi-Kober fractional integral conditions},
year = {2025},
journal = {Mathematical Modelling and Control},
volume = {5},
number = {3},
pages = {258-279},
keywords = {coupled system, fractional jerk equation, Erdélyi-Kober q-fractional integral conditions, fixed point theorem, Ulam-Hyers stability},
url = {https://www.sciopen.com/article/10.3934/mmc.2025018},
doi = {10.3934/mmc.2025018},
abstract = {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.}
}