RT journal article T1 The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives A1 Ravi, Poovarasan A1 Kumar, Pushpendra A1 Venkatesan, Govindaraj A1 Murillo Arcila, Marina A2 Matemáticas K1 Existence and uniqueness K1 Fractional boundary value problem K1 Hyers–Ulam stability K1 ψ-Caputo derivative AB In this article, we use coupled boundary conditions on a nonlinear system with ψ-Caputo fractional derivatives to derive new conclusions on the solution’s existence, uniqueness, and stability. We use the well-known tools of fixed-point theory to establish the proposed results. We give an example to verify the theoretical findings. The proposed existence, uniqueness, and stability analyses considering the ψ-Caputo fractional derivative are the novelty of this article. PB Springer SN 1687-2770 YR 2023 FD 2023 LK http://hdl.handle.net/10498/32509 UL http://hdl.handle.net/10498/32509 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 12-nov-2026