Numerical treatment of singular functional systems in quantum calculus: adaptive backpropagated Levenberg–Marquardt neural networksSyed Ali Asghar, Iftikhar Ahmad, Hira Ilyas, Muhammad Abdullah, Muhammad Shoaib and Muhammad Asif Zahoor RajaEur. Phys. J. Plus, 139 1 (2024) 10DOI: https://doi.org/10.1140/epjp/s13360-023-04735-2