@article{article_1459958, title={On ψ-quantum fractional operators: Existence, uniqueness and Ulam-Hyers stability}, journal={Sigma Journal of Engineering and Natural Sciences}, volume={42}, pages={313–320}, year={2024}, author={Limpanukorn, Norravich and Ahmed, Idris and Ibrahim, Muhammad Jamilu}, keywords={Q-Calculus, ψ-Quantum, Ulam-Hyers Stability, Banach Contraction}, abstract={In this paper, we study the generalized concept of q-calculus with respect to another func-tion. The 𝜓-quantum Riemann-Liouville fractional integral, 𝜓-quantum Riemann-Liouville fractional derivative, and 𝜓-quantum Caputo fractional derivative were introduced. The ex-istence, uniqueness, and Ulam-Hyers stability of the solutions with the mentioned derivatives were established. Finally, some examples are considered to demonstrate the results obtained.}, number={2}, publisher={Yildiz Technical University}